{"id":61,"date":"2022-09-05T18:02:15","date_gmt":"2022-09-05T18:02:15","guid":{"rendered":"http:\/\/localhost:8000\/?page_id=61"},"modified":"2025-08-11T15:49:57","modified_gmt":"2025-08-11T15:49:57","slug":"disciplinas-ementas","status":"publish","type":"page","link":"https:\/\/ppge.im.ufrj.br\/en\/disciplinas-ementas\/","title":{"rendered":"Disciplinas: ementas"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling gradient-container-1\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1248px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-1 sep-underline sep-solid fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:10px;--awb-margin-left-small:0px;--awb-sep-color:var(--awb-color6);\"><h2 class=\"fusion-title-heading title-heading-left\" style=\"margin:0;text-transform:uppercase;text-shadow:0px #282828;\">Subjects<\/h2><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:20px;margin-bottom:10px;width:100%;\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling gradient-container-2\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1248px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\"><h3>Disciplinas de Nivelamento<\/h3>\n<\/div><div class=\"accordian fusion-accordian\" style=\"--awb-border-size:1px;--awb-icon-size:16px;--awb-content-font-size:14px;--awb-icon-alignment:left;--awb-hover-color:var(--awb-color2);--awb-border-color:var(--awb-color3);--awb-background-color:var(--awb-color1);--awb-divider-color:var(--awb-color3);--awb-divider-hover-color:var(--awb-color3);--awb-icon-color:#278b77;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);--awb-icon-box-color:var(--awb-color8);--awb-toggle-hover-accent-color:var(--awb-color5);--awb-toggle-active-accent-color:#278b77;--awb-title-font-family:var(--awb-typography1-font-family);--awb-title-font-weight:var(--awb-typography1-font-weight);--awb-title-font-style:var(--awb-typography1-font-style);--awb-title-font-size:24px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;\"><div class=\"panel-group fusion-toggle-icon-unboxed\" id=\"accordion-61-1\"><div class=\"fusion-panel panel-default panel-a3a56c7d662e9f330 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_a3a56c7d662e9f330\"><a aria-expanded=\"false\" aria-controls=\"a3a56c7d662e9f330\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-1\" data-target=\"#a3a56c7d662e9f330\" href=\"#a3a56c7d662e9f330\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Introdu\u00e7\u00e3o \u00e0 Probabilidade<\/span><\/a><\/h4><\/div><div id=\"a3a56c7d662e9f330\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_a3a56c7d662e9f330\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 001<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 40 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Espa\u00e7os amostrais e eventos.<\/li>\n<li>Probabilidade condicional.<\/li>\n<li>Vari\u00e1veis aleat\u00f3rias e distribui\u00e7\u00f5es de probabilidade.<\/li>\n<li>Valores esperados.<\/li>\n<li>Principais distribui\u00e7\u00f5es de probabilidade.<\/li>\n<li>Lei dos grandes n\u00fameros e teorema central do limite.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>DeGroot, M. H. (1989). Probability and Statistics. Addison-Wesley (2\u00aa. edi\u00e7\u00e3o);<\/li>\n<li>Ross, S. (2009). A First Course in Probability. Prentice Hall (8\u00b0 Edi\u00e7\u00e3o).<\/li>\n<\/ul>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-top:30px;margin-bottom:20px;width:100%;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:#b9b58d;border-color:#b9b58d;border-top-width:1px;\"><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_2 1_2 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:3.84%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-2\"><h3>Disciplinas de Mestrado<\/h3>\n<\/div><div class=\"accordian fusion-accordian\" style=\"--awb-border-size:1px;--awb-icon-size:16px;--awb-content-font-size:14px;--awb-icon-alignment:left;--awb-hover-color:var(--awb-color2);--awb-border-color:var(--awb-color3);--awb-background-color:var(--awb-color1);--awb-divider-color:var(--awb-color3);--awb-divider-hover-color:var(--awb-color3);--awb-icon-color:#278b77;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);--awb-icon-box-color:var(--awb-color8);--awb-toggle-hover-accent-color:var(--awb-color5);--awb-toggle-active-accent-color:#278b77;--awb-title-font-family:var(--awb-typography1-font-family);--awb-title-font-weight:var(--awb-typography1-font-weight);--awb-title-font-style:var(--awb-typography1-font-style);--awb-title-font-size:24px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;\"><div class=\"panel-group fusion-toggle-icon-unboxed\" id=\"accordion-61-2\"><div class=\"fusion-panel panel-default panel-613ddfd7391090d09 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_613ddfd7391090d09\"><a aria-expanded=\"false\" aria-controls=\"613ddfd7391090d09\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#613ddfd7391090d09\" href=\"#613ddfd7391090d09\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Amostragem<\/span><\/a><\/h4><\/div><div id=\"613ddfd7391090d09\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_613ddfd7391090d09\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 783<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Modelos de superpopula\u00e7\u00e3o.<\/li>\n<li>Introdu\u00e7\u00e3o \u00e0 Teoria de Predi\u00e7\u00e3o para Popula\u00e7\u00e3o Finita:\n<ul>\n<li>Preditores lineares \u00f3timos;<\/li>\n<li>Previsores lineares emp\u00edricos.<\/li>\n<\/ul>\n<\/li>\n<li>Amostragem informativa.<\/li>\n<li>Tratamento da n\u00e3o-resposta.<\/li>\n<li>Infer\u00eancia Bayesiana para Popula\u00e7\u00f5es Finitas.<\/li>\n<li>Estimador Linear de Bayes.<\/li>\n<li>Introdu\u00e7\u00e3o ao problema de estima\u00e7\u00e3o em pequenas \u00e1reas.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Chambers R. L. and Skinner, C. J.(2003). Analysis of Survey Data. Wiley Series in Survey Methodology.<\/li>\n<li>Ghosh, M. e Meeden, G. (1997). Bayesian Methods for Finite Population Sampling. Chapman &amp; Hall.<\/li>\n<li>Moura, F.A.S(2008). Estima\u00e7\u00e3o em Pequenos Dom\u00ednios. 180 SINAPE. ABE.<\/li>\n<li>Valiant, R. Dorfman, A. H. and Royall R. M.(2000). Finite Population Sampling and Inference: A Prediction Approach. Wiley Series in Probability and Statistics.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-5a06f9a2541968dc6 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_5a06f9a2541968dc6\"><a aria-expanded=\"false\" aria-controls=\"5a06f9a2541968dc6\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#5a06f9a2541968dc6\" href=\"#5a06f9a2541968dc6\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">An\u00e1lise de Sobreviv\u00eancia e Confiabilidade<\/span><\/a><\/h4><\/div><div id=\"5a06f9a2541968dc6\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_5a06f9a2541968dc6\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 797<\/p>\n<p><strong>Carga Hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Conceitos b\u00e1sicos: tempo de falha, tipos de censura etc.<\/li>\n<li>Elementos da an\u00e1lise de sobreviv\u00eancia e de confiabilidade.<\/li>\n<li>Distribui\u00e7\u00f5es de tempos de falha.<\/li>\n<li>M\u00e9todos emp\u00edricos de identifica\u00e7\u00e3o de modelos.<\/li>\n<li>Estima\u00e7\u00e3o em amostras simples e Kaplan-Meyer.<\/li>\n<li>Modelos de Regress\u00e3o em sobreviv\u00eancia e confiabilidade (taxas de falha proporcionais, tempos de vida acelerados).<\/li>\n<li>Infer\u00eancia em modelos de regress\u00e3o.<\/li>\n<li>Fragilidades.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Cox, D. R. &amp; Oakes, D. (1984). Analysis of Survival Data. Chapman &amp; Hall.<\/li>\n<li>Crowder, M., Kimber, A. C., Smith, R. L. &amp; Sweeting, T. (1994). Statistical Analysis of Reliability Data. Chapman &amp; Hall.<\/li>\n<li>Kleinbaum, D. &amp; Klein, M. (2005). Survival Analysis a Self Learning Text (2a Ed.). Springer.<\/li>\n<li>Therneau, T. M. &amp; Grambsch, P. M. (2000). Modeling Survival Data: Extending the Cox Model. Springer.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-102eb1c723b0cc582 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_102eb1c723b0cc582\"><a aria-expanded=\"false\" aria-controls=\"102eb1c723b0cc582\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#102eb1c723b0cc582\" href=\"#102eb1c723b0cc582\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Cadeias de Markov<\/span><\/a><\/h4><\/div><div id=\"102eb1c723b0cc582\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_102eb1c723b0cc582\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 793<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Introdu\u00e7\u00e3o a cadeias de Markov: Conceitos b\u00e1sicos; Classifica\u00e7\u00e3o de estados; Distribui\u00e7\u00e3o estacion\u00e1ria; Reversibilidade.<\/li>\n<li>Passeios aleat\u00f3rios em grafos.<\/li>\n<li>Exemplos cl\u00e1ssicos.<\/li>\n<li>Cadeias de Metropolis e Glauber.<\/li>\n<li>Converg\u00eancia e relaxamento ao equil\u00edbrio.<\/li>\n<li>Acoplamento e converg\u00eancia em distribui\u00e7\u00e3o.<\/li>\n<li>Tempo de mistura.<\/li>\n<li>Teorema erg\u00f3dico.<\/li>\n<li>Outros t\u00f3picos de acordo com interesses do instrutor e da turma, tais como:\n<ul>\n<li>Cadeias de Markov revers\u00edveis em redes;<\/li>\n<li>Conex\u00e3o entre teoria do potencial em Cadeias de Markov e redes el\u00e9tricas;<\/li>\n<li>Aplica\u00e7\u00f5es em combinat\u00f3ria, estat\u00edstica, mec\u00e2nica estat\u00edstica e otimiza\u00e7\u00e3o;<\/li>\n<li>Cut-off e metaestabilidade;<\/li>\n<li>Processos de Poisson e varia\u00e7\u00f5es;<\/li>\n<li>Cadeias de Markov a tempo cont\u00ednuo;<\/li>\n<li>Teoria da renova\u00e7\u00e3o.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Br\u00e9maud, P.(1999). Markov Chains. Gibbs Fields, Monte Carlo Simulation, and Queues. Springer.<\/li>\n<li>Galves, A; Ferrari, P. Acoplamento em Processos Estoc\u00e1sticos (manuscrito n\u00e3o publicado) http:\/\/www.ime.usp.br\/~pablo\/papers\/libro.pdf.<\/li>\n<li>Levin, D. A.; Peres, Y.; Wilmer, E. L. (2009). Markov Chains and Mixing Times. Amer. Math. Society.<\/li>\n<li>Norris, J. (1998). Markov Chains. Cambridge Univ. Press.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-714c04068a4896508 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_714c04068a4896508\"><a aria-expanded=\"false\" aria-controls=\"714c04068a4896508\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#714c04068a4896508\" href=\"#714c04068a4896508\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">C\u00e1lculo Avan\u00e7ado para Estat\u00edstica<\/span><\/a><\/h4><\/div><div id=\"714c04068a4896508\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_714c04068a4896508\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAC 711<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Topologia dos espa\u00e7os euclideanos (abertos, fechados, compactos,&#8230;).<\/li>\n<li>Conceitos b\u00e1sicos de \u00c1lgebra Linear.<\/li>\n<li>Limites de fun\u00e7\u00f5es de v\u00e1rias vari\u00e1veis.<\/li>\n<li>Fun\u00e7\u00f5es cont\u00ednuas.<\/li>\n<li>Fun\u00e7\u00f5es diferenci\u00e1veis e a regra da cadeia.<\/li>\n<li>Derivadas de ordem superior e a f\u00f3rmula de Taylor.<\/li>\n<li>Integral de Riemann-Stieltjes e suas propriedades b\u00e1sicas.<\/li>\n<li>Sequ\u00eancias e s\u00e9ries de fun\u00e7\u00f5es.<\/li>\n<li>Converg\u00eancia de integrais impr\u00f3prias.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Bartle, R (1976) The elements of Real Analysis. Wiley (2a. edi\u00e7\u00e3o).<\/li>\n<li>Cipolatti, R. (2000). C\u00e1lculo Avan\u00e7ado. IM-UFRJ.<\/li>\n<li>Rudin, W. (1976). Principles of Mathematical Analysis. Mc Graw Hill (3a. edi\u00e7\u00e3o).<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-4ddc046d34661a8cc fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_4ddc046d34661a8cc\"><a aria-expanded=\"false\" aria-controls=\"4ddc046d34661a8cc\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#4ddc046d34661a8cc\" href=\"#4ddc046d34661a8cc\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Econometria<\/span><\/a><\/h4><\/div><div id=\"4ddc046d34661a8cc\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_4ddc046d34661a8cc\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 771<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Modelo de regress\u00e3o linear.<\/li>\n<li>Propriedades para amostras finitas dos estimadores de m\u00ednimos quadrados ordin\u00e1rios.<\/li>\n<li>Teoria para amostras grandes.<\/li>\n<li>M\u00e9todo dos momentos generalizados (GMM) para equa\u00e7\u00f5es simples e m\u00faltiplas.<\/li>\n<li>Dados de painel; multicolinearidade, heteroscedasticidade e correla\u00e7\u00e3o serial.<\/li>\n<li>Regress\u00e3o bin\u00e1ria.<\/li>\n<li>Modelos din\u00e2micos: defasagens distribu\u00eddas, expectativas e ajustamento parcial<\/li>\n<li>Equa\u00e7\u00f5es simult\u00e2neas: tipos de estruturas, o problema de identifica\u00e7\u00e3o e m\u00e9todos de estima\u00e7\u00e3o.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Greene, W. H. (2012). Econometric Analysis (7th Edition). Prentice Hall.<\/li>\n<li>Hayashi, F. (2000). Econometrics. Princeton: Princeton University Press.<\/li>\n<li>Kennedy, P. (2008). A Guide to Econometrics (6th Edition). Wiley-Blackwell.<br \/>\nKoop, G. (2003). Bayesian Econometrics. Wiley-Interscience.<\/li>\n<li>Lancaster, T. (2004). Introduction to Modern Bayesian Econometrics. Wiley-Blackwell.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-1f58f016d60f55b0c fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_1f58f016d60f55b0c\"><a aria-expanded=\"false\" aria-controls=\"1f58f016d60f55b0c\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#1f58f016d60f55b0c\" href=\"#1f58f016d60f55b0c\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Estat\u00edstica Computacional<\/span><\/a><\/h4><\/div><div id=\"1f58f016d60f55b0c\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_1f58f016d60f55b0c\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 760<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Simula\u00e7\u00e3o estoc\u00e1stica:\n<ul>\n<li>Gera\u00e7\u00e3o de vari\u00e1veis aleat\u00f3rias,<\/li>\n<li>M\u00e9todos de aceita\u00e7\u00e3o e rejei\u00e7\u00e3o.<\/li>\n<\/ul>\n<\/li>\n<li>Otimiza\u00e7\u00e3o num\u00e9rica:\n<ul>\n<li>Algoritmo EM,<\/li>\n<li>Simulated annealing.<\/li>\n<\/ul>\n<\/li>\n<li>M\u00e9todos aproximados de infer\u00eancia:\n<ul>\n<li>Aproxima\u00e7\u00e3o de Laplace,<\/li>\n<li>Amostragem por import\u00e2ncia,<\/li>\n<li>Integra\u00e7\u00e3o de Monte Carlo.<\/li>\n<\/ul>\n<\/li>\n<li>M\u00e9todos de Monte Carlo via cadeias de Markov:\n<ul>\n<li>Amostrador de Gibbs,<\/li>\n<li>Algoritmo de Metropolis e Metropolis-Hastings<\/li>\n<li>Diagn\u00f3sticos de converg\u00eancia<\/li>\n<\/ul>\n<\/li>\n<li>C\u00e1lculo da distribui\u00e7\u00e3o marginal<\/li>\n<li>MCMC com saltos revers\u00edveis<\/li>\n<li>Compara\u00e7\u00e3o de modelos<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Gamerman, D. and Lopes, H. F. (2006). Markov Chain Monte Carlo: Stochastic Simulation for Bayesian Inference. Second Edition. Chapman &amp; Hall.<\/li>\n<li>Givens, G. H. and Hoeting, J. A. (2012). Computational Statistics. Wiley Series in Computational Statistics.<\/li>\n<li>Robert, C. P. and Casella, G. (2004). Monte Carlo Statistical Methods. Second Edition. Springer<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-85f08b3f2ae7eb7ef fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_85f08b3f2ae7eb7ef\"><a aria-expanded=\"false\" aria-controls=\"85f08b3f2ae7eb7ef\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#85f08b3f2ae7eb7ef\" href=\"#85f08b3f2ae7eb7ef\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Estat\u00edstica Espacial<\/span><\/a><\/h4><\/div><div id=\"85f08b3f2ae7eb7ef\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_85f08b3f2ae7eb7ef\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 762<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Geoestat\u00edstica:\n<ul>\n<li>An\u00e1lise explorat\u00f3ria (variograma, semivariograma, graficos de contorno, tendencia global e local);<\/li>\n<li>Processos Gaussianos;<\/li>\n<li>Estacionariedade e isotropia;<\/li>\n<li>Fun\u00e7\u00f5es de covari\u00e2ncia.<\/li>\n<\/ul>\n<\/li>\n<li>Infer\u00eancia em processos espaciais:\n<ul>\n<li>Cl\u00e1ssica e bayesiana;<\/li>\n<li>Interpola\u00e7\u00e3o espacial;<\/li>\n<li>Modelos n\u00e3o estacion\u00e1rios.<\/li>\n<\/ul>\n<\/li>\n<li>Dados de Area: an\u00e1lise explorat\u00f3ria:\n<ul>\n<li>Estat\u00edstica I de Moran;<\/li>\n<li>Modelos CAR e SAR;<\/li>\n<li>Infer\u00eancia cl\u00e1ssica e bayesiana em modelos CAR e SAR.<\/li>\n<\/ul>\n<\/li>\n<li>Processos Pontuais:\n<ul>\n<li>An\u00e1lise de padr\u00f5es pontuais,<\/li>\n<li>Estimador de intensidade (kernel) e estimadores de depend\u00eancia espacial;<\/li>\n<li>Processo pontual marcado.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Stein, M. (1999). Interpolation of Spatial Data. Springer.<\/li>\n<li>Cressie, N. (1993). Statistics for Spatial Data. Wiley.<\/li>\n<li>Diggle, P. J. (2003). Statistical Analysis of Spatial Point Patterns (2a Ed). Arnold.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-d498172e9ab6b9845 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_d498172e9ab6b9845\"><a aria-expanded=\"false\" aria-controls=\"d498172e9ab6b9845\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#d498172e9ab6b9845\" href=\"#d498172e9ab6b9845\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Estat\u00edstica Multivariada<\/span><\/a><\/h4><\/div><div id=\"d498172e9ab6b9845\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_d498172e9ab6b9845\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 788<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Infer\u00eancia na distribui\u00e7\u00e3o normal multivariada: frequentista e Bayesiana.<\/li>\n<li>Regress\u00e3o e an\u00e1lise de vari\u00e2ncia multivariadas: frequentista e Bayesiana.<\/li>\n<li>Componentes Principais.<\/li>\n<li>An\u00e1lise Fatorial.<\/li>\n<li>Correla\u00e7\u00e3o Can\u00f4nica.<\/li>\n<li>An\u00e1lise de Correspond\u00eancias.<\/li>\n<li>An\u00e1lise discriminante.<\/li>\n<li>An\u00e1lise de conglomerados.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Johnson e Wichern (2007). Applied Multivariate Statistical Analysis. 6th Ed. Pearson.<\/li>\n<li>Mardia, K. C., Kent, J. T. &amp; Bibby, J. M. (1982). Multivariate Analysis. Academic Press;<\/li>\n<li>Press, S. J. (1989). Bayesian Statistics: Principles, Models and Applications. Wiley.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-35c43a132b351a3e9 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_35c43a132b351a3e9\"><a aria-expanded=\"false\" aria-controls=\"35c43a132b351a3e9\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#35c43a132b351a3e9\" href=\"#35c43a132b351a3e9\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Geoestat\u00edstica<\/span><\/a><\/h4><\/div><div id=\"35c43a132b351a3e9\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_35c43a132b351a3e9\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 761<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Introdu\u00e7\u00e3o a estat\u00edstica espacial (geoestat\u00edstica, dados de \u00e1rea, processos pontuais);<\/li>\n<li>campos aleat\u00f3rios e fun\u00e7\u00f5es aleat\u00f3rias (defini\u00e7\u00e3o, densidade espectral, fun\u00e7\u00e3o de m\u00e9dia);<\/li>\n<li>fun\u00e7\u00f5es de covari\u00e2ncia (teorema de Bochner, termo irregular principal, Mat\u00e9rn, fun\u00e7\u00f5es exponencial, cauchy, triangular, gaussiana, esf\u00e9rica e variogramas);<\/li>\n<li>propriedades elementares de fun\u00e7\u00f5es de covari\u00e2ncia (estacionariedade, suavidade, separabilidade, isotropia, efeito pepita);<\/li>\n<li>estima\u00e7\u00e3o (problemas na verossimilhan\u00e7a, distribu\u00e7\u00f5es a priori, aproxima\u00e7\u00f5es para a verossimilhan\u00e7a, tapering);<\/li>\n<li>previs\u00e3o e extrapola\u00e7\u00e3o (compara\u00e7\u00e3o te\u00f3rica, compara\u00e7\u00e3o de modelos para previs\u00e3o);<\/li>\n<li>modelos n\u00e3o estacion\u00e1rios e anisotr\u00f3picos;\n<ul>\n<li>modelos espa\u00e7o-temporais (separabilidade, simetria);<\/li>\n<li>modelos multivariados (modelos de corregionaliza\u00e7\u00e3o e convolu\u00e7\u00e3o e covari\u00e2ncia cruzada).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Banerjee, S.; Carlin, B.; Gelfand, A. E. (2014) Hierarchical Modeling and Analysis for Spatial Data. Chapman &amp; Hall.<\/li>\n<li>Diggle, P. J. (2014) Statistical Analysis of Spatial and Spatio-Temporal Point Patterns. CRC.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-523ca84eb9d11a764 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_523ca84eb9d11a764\"><a aria-expanded=\"false\" aria-controls=\"523ca84eb9d11a764\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#523ca84eb9d11a764\" href=\"#523ca84eb9d11a764\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Infer\u00eancia Estat\u00edstica<\/span><\/a><\/h4><\/div><div id=\"523ca84eb9d11a764\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_523ca84eb9d11a764\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 781<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 90 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Fun\u00e7\u00e3o de verossimilhan\u00e7a.<\/li>\n<li>Elementos de Infer\u00eancia:\n<ul>\n<li>teorema de Bayes,<\/li>\n<li>permutabilidade,<\/li>\n<li>sufici\u00eancia,<\/li>\n<li>fam\u00edlia exponencial de distribui\u00e7\u00f5es,<\/li>\n<\/ul>\n<\/li>\n<li>distribui\u00e7\u00f5es a priori.<\/li>\n<li>Estima\u00e7\u00e3o:\n<ul>\n<li>por ponto e por intervalo,<\/li>\n<li>cl\u00e1ssica e Bayesiana.<\/li>\n<\/ul>\n<\/li>\n<li>Distribui\u00e7\u00f5es amostrais.<\/li>\n<li>Efici\u00eancia de estimadores.<\/li>\n<li>Intervalos de confian\u00e7a assint\u00f3ticos.<\/li>\n<li>Testes de hip\u00f3teses: cl\u00e1ssico e Bayesiano.<\/li>\n<li>Testes assint\u00f3ticos.<\/li>\n<li>Testes para o modelo normal.<\/li>\n<li>Teoria de Neyman-Pearson.<\/li>\n<li>Teste da raz\u00e3o de verossimilhan\u00e7a.<\/li>\n<\/ul>\n<p><strong><br \/>\nRefer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Migon, H. S., Gamerman, D., &amp; Louzada, F. (2014). Statistical inference: an integrated approach. CRC press. (3a Edi\u00e7\u00e3o)<\/li>\n<li>Casella, G., &amp; Berger, R. (2007). Statistical inference. Chapman and Hall\/CRC. (2a Edi\u00e7\u00e3o)<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-582938457526c6bb3 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_582938457526c6bb3\"><a aria-expanded=\"false\" aria-controls=\"582938457526c6bb3\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#582938457526c6bb3\" href=\"#582938457526c6bb3\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Modelos Din\u00e2micos<\/span><\/a><\/h4><\/div><div id=\"582938457526c6bb3\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_582938457526c6bb3\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 796<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Estima\u00e7\u00e3o cl\u00e1ssica e bayesiana;<\/li>\n<li>Modelos din\u00e2micos, ou em espa\u00e7o de estado, de s\u00e9ries temporais;<\/li>\n<li>Modelos com tend\u00eancia, sazonalidade e\/ou ciclo;<\/li>\n<li>Regress\u00e3o din\u00e2mica;<\/li>\n<li>Propriedades do modelo linear geral;<\/li>\n<li>Modelos de fun\u00e7\u00e3o de transfer\u00eancia;<\/li>\n<li>Monitoramento e interven\u00e7\u00e3o;<\/li>\n<li>Modelos din\u00e2micos n\u00e3o normais e n\u00e3o lineares;<\/li>\n<li>M\u00e9todos computacionais: Monte Carlo via cadeias de Markov (MCMC) e filtros de part\u00edculas.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Durbin, J. and Koopman, S. J. (2012). Time Series Analysis by State Space Methods (2nd Edition). Oxford: Oxford University Press.<\/li>\n<li>Prado, R. and West, M. (2010). Time Series Modeling, Inference and Forecasting. Boca Raton: Chapman &amp; Hall\/CRC.<\/li>\n<li>West, M. &amp; Harrison, P. J. (1997). Bayesian Forecasting and Dynamic Models.<br \/>\nSpringer-Verlag (2a. edi\u00e7\u00e3o).<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-8132ef1a886baa539 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_8132ef1a886baa539\"><a aria-expanded=\"false\" aria-controls=\"8132ef1a886baa539\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#8132ef1a886baa539\" href=\"#8132ef1a886baa539\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Modelos Lineares Generalizados<\/span><\/a><\/h4><\/div><div id=\"8132ef1a886baa539\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_8132ef1a886baa539\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 789<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Regress\u00e3o linear simples.<\/li>\n<li>Modelo linear geral.<\/li>\n<li>An\u00e1lise de vari\u00e2ncia a um fator.<\/li>\n<li>Modelos de regress\u00e3o m\u00faltipla.<\/li>\n<li>Previs\u00e3o cl\u00e1ssica e Bayesiana.<\/li>\n<li>An\u00e1lise de res\u00edduos.<\/li>\n<li>Modelos lineares generalizados.<\/li>\n<li>Modelos para dados bin\u00e1rios e para dados categ\u00f3ricos.<\/li>\n<li>Modelos loglineares.<\/li>\n<li>Modelos para dados com coeficiente de varia\u00e7\u00e3o constante.<\/li>\n<li>Verifica\u00e7\u00e3o de modelos.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Fahrmeir, L. e Tutz, G. (1994). Multivariate Statistical Modelling Based on Generalized Linear Models. Springer.<\/li>\n<li>Gamerman, D. e Migon, H. (1999). Statistical Inference: an Integrated Approach. Arnold.<\/li>\n<li>Jorgensen, B. (1993). The Theory of the Linear Model. Chapman &amp; Hall.<\/li>\n<li>McCullagh, P. e Nelder, J. A. (1989). Generalized Linear Models (2a ed.) Chapman &amp; Hall.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-6374c9d4dc5e72708 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_6374c9d4dc5e72708\"><a aria-expanded=\"false\" aria-controls=\"6374c9d4dc5e72708\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#6374c9d4dc5e72708\" href=\"#6374c9d4dc5e72708\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Pesquisa para Disserta\u00e7\u00e3o de Mestrado<\/span><\/a><\/h4><\/div><div id=\"6374c9d4dc5e72708\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_6374c9d4dc5e72708\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 708<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 0 horas<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-4e3df28db6916e0e5 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_4e3df28db6916e0e5\"><a aria-expanded=\"false\" aria-controls=\"4e3df28db6916e0e5\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#4e3df28db6916e0e5\" href=\"#4e3df28db6916e0e5\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Semin\u00e1rios de Mestrado I, II, III, IV<\/span><\/a><\/h4><\/div><div id=\"4e3df28db6916e0e5\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_4e3df28db6916e0e5\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digos:<\/strong> MAD 701 a 704<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 15 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>Disciplina de ementa variada envolvendo discuss\u00e3o de trabalhos de pesquisa publicados ou por ser publicados.<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-3f9a99aa9d56aa4fb fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_3f9a99aa9d56aa4fb\"><a aria-expanded=\"false\" aria-controls=\"3f9a99aa9d56aa4fb\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#3f9a99aa9d56aa4fb\" href=\"#3f9a99aa9d56aa4fb\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">S\u00e9ries Temporais<\/span><\/a><\/h4><\/div><div id=\"3f9a99aa9d56aa4fb\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_3f9a99aa9d56aa4fb\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 772<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Processos ARMA estacion\u00e1rios.<\/li>\n<li>Estima\u00e7\u00e3o de m\u00e1xima verossimilhan\u00e7a.<\/li>\n<li>Teoria de distribui\u00e7\u00e3o assint\u00f3tica.<\/li>\n<li>Aspectos da estima\u00e7\u00e3o Bayesiana em s\u00e9ries temporais.<\/li>\n<li>S\u00e9ries temporais multivariadas.<\/li>\n<li>An\u00e1lise espectral;<\/li>\n<li>Modelos de heterocedasticidade conditional: univariados e multivariados.<\/li>\n<li>Modelos n\u00e3o-lineares de s\u00e9ries temporais.<\/li>\n<li>Modelos VAR.<\/li>\n<li>Ra\u00edzes unit\u00e1rias e cointegra\u00e7\u00e3o.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Brockwell, P. J. and Davis, R. A. (2009). Time Series: Theory and Methods (2nd<br \/>\nEdition). New York: Springer.<\/li>\n<li>Hamilton, J. (1994). Time Series Analysis. Princeton.<\/li>\n<li>Prado, R. and West, M. (2010). Time Series Modeling, Inference and Forecasting. Boca Raton: Chapman &amp; Hall\/CRC.<\/li>\n<li>Tsay, R. S. (2010). Analysis of Financial Time Series (3rd Edition). Hoboken: Wiley.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-e0d31a1d547be43b4 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_e0d31a1d547be43b4\"><a aria-expanded=\"false\" aria-controls=\"e0d31a1d547be43b4\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#e0d31a1d547be43b4\" href=\"#e0d31a1d547be43b4\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Teoria da Decis\u00e3o<\/span><\/a><\/h4><\/div><div id=\"e0d31a1d547be43b4\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_e0d31a1d547be43b4\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 777<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Probabilidade subjetiva e sua eliciac\u00e3o,<\/li>\n<li>Teoria da utilidade e prefer\u00eancias racionais,<\/li>\n<li>Fun\u00e7\u00f5es de decis\u00e3o,<\/li>\n<li>Admissibilidade,<\/li>\n<li>Regras de escore.<\/li>\n<li>\u00c1rvores de decis\u00e3o.<\/li>\n<li>Decis\u00f5es com m\u00faltiplos atributos.<\/li>\n<li>Desenho \u00f3timo.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>DeGroot, M. H. (1970). Optimal Statistical Decisions. McGraw-Hill.<\/li>\n<li>French, S and Rios Insua, D (2000) &#8211; Statistical decision theory. Kendal&#8217;s library of statistics 9. Arnold.<\/li>\n<li>Parmigiani, G. e Inoue, L., (2009) &#8211; Decision Theory &#8211; principles and approaches &#8211; Wiley.<\/li>\n<li>Smith J. (2010) Bayesian decision analysis &#8211; Cambridge University Press.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-3f71b75b92035392e fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_3f71b75b92035392e\"><a aria-expanded=\"false\" aria-controls=\"3f71b75b92035392e\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#3f71b75b92035392e\" href=\"#3f71b75b92035392e\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Teoria das Probabilidades<\/span><\/a><\/h4><\/div><div id=\"3f71b75b92035392e\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_3f71b75b92035392e\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 790<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 90 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Espa\u00e7os de probabilidades.<\/li>\n<li>Vari\u00e1veis e vetores aleat\u00f3rias.<\/li>\n<li>Valores esperados.<\/li>\n<li>Fun\u00e7\u00f5es geradoras e fun\u00e7\u00f5es caracter\u00edsticas.<\/li>\n<li>Distribui\u00e7\u00e3o e esperan\u00e7a condicionais.<\/li>\n<li>Leis dos grandes n\u00fameros.<\/li>\n<li>Tipos de converg\u00eancia.<\/li>\n<li>Teoremas limites.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancia:<\/strong><\/p>\n<ul>\n<li>James, B. R. (1981). Probabilidade: Um Curso de Nivel Intermedi\u00e1rio. Projeto Euclides, IMPA;<\/li>\n<li>Shiryayev, A. N. (1984). Probability. Springer.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-e7e1ef41bf3f7a8ab fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_e7e1ef41bf3f7a8ab\"><a aria-expanded=\"false\" aria-controls=\"e7e1ef41bf3f7a8ab\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#e7e1ef41bf3f7a8ab\" href=\"#e7e1ef41bf3f7a8ab\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Teoria de Valores Extremos<\/span><\/a><\/h4><\/div><div id=\"e7e1ef41bf3f7a8ab\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_e7e1ef41bf3f7a8ab\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 784<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Aplica\u00e7\u00f5es em finan\u00e7as e atu\u00e1ria.<\/li>\n<li>Resultados assint\u00f3ticos para m\u00e1ximos de blocos e excessos.<\/li>\n<li>Distribui\u00e7\u00f5es do valor extremo e Pareto generalizada (Infer\u00eancia para estas distribui\u00e7\u00f5es).<\/li>\n<li>\u00cdndice extremal, estima\u00e7\u00e3o de quantis.<\/li>\n<li>C\u00e1lculo do VaR e do shortfall.<\/li>\n<li>Estimadores gr\u00e1ficos (mean excess plots, peaks over thresholds).<\/li>\n<li>M\u00e9todos de estima\u00e7\u00e3o baseados na verossimilhan\u00e7a e Bayesianos.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer-Verlag.<\/li>\n<li>Embrechts, P., Kluppelberg, C &amp; Mikosch, T. (1997). Modelling Extremal Events for Insurance and Finance. Springer-Verlag.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-f6374c5339c419939 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_f6374c5339c419939\"><a aria-expanded=\"false\" aria-controls=\"f6374c5339c419939\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#f6374c5339c419939\" href=\"#f6374c5339c419939\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos de Estat\u00edstica I e II<\/span><\/a><\/h4><\/div><div id=\"f6374c5339c419939\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_f6374c5339c419939\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digos:<\/strong> MAD 711 e 712<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-6c9ef45cc6f253797 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_6c9ef45cc6f253797\"><a aria-expanded=\"false\" aria-controls=\"6c9ef45cc6f253797\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#6c9ef45cc6f253797\" href=\"#6c9ef45cc6f253797\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos de Estat\u00edstica Aplicada I e II<\/span><\/a><\/h4><\/div><div id=\"6c9ef45cc6f253797\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_6c9ef45cc6f253797\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digos:<\/strong> MAD 786 e 787<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-b87e49a71c283a5f4 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_b87e49a71c283a5f4\"><a aria-expanded=\"false\" aria-controls=\"b87e49a71c283a5f4\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#b87e49a71c283a5f4\" href=\"#b87e49a71c283a5f4\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos em Probabilidade<\/span><\/a><\/h4><\/div><div id=\"b87e49a71c283a5f4\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_b87e49a71c283a5f4\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digos:<\/strong> MAD 713 e 714<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-c349f45c733fc5e70 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_c349f45c733fc5e70\"><a aria-expanded=\"false\" aria-controls=\"c349f45c733fc5e70\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-2\" data-target=\"#c349f45c733fc5e70\" href=\"#c349f45c733fc5e70\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos em Processos Estoc\u00e1sticos<\/span><\/a><\/h4><\/div><div id=\"c349f45c733fc5e70\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_c349f45c733fc5e70\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digos:<\/strong> MAD 791<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_2 1_2 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:3.84%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-3\"><h3>Disciplinas de Doutorado<\/h3>\n<\/div><div class=\"accordian fusion-accordian\" style=\"--awb-border-size:1px;--awb-icon-size:16px;--awb-content-font-size:14px;--awb-icon-alignment:left;--awb-hover-color:var(--awb-color2);--awb-border-color:var(--awb-color3);--awb-background-color:var(--awb-color1);--awb-divider-color:var(--awb-color3);--awb-divider-hover-color:var(--awb-color3);--awb-icon-color:#278b77;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);--awb-icon-box-color:var(--awb-color8);--awb-toggle-hover-accent-color:var(--awb-color5);--awb-toggle-active-accent-color:#278b77;--awb-title-font-family:var(--awb-typography1-font-family);--awb-title-font-weight:var(--awb-typography1-font-weight);--awb-title-font-style:var(--awb-typography1-font-style);--awb-title-font-size:24px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;\"><div class=\"panel-group fusion-toggle-icon-unboxed\" id=\"accordion-61-3\"><div class=\"fusion-panel panel-default panel-6b69788c153144bb8 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_6b69788c153144bb8\"><a aria-expanded=\"false\" aria-controls=\"6b69788c153144bb8\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#6b69788c153144bb8\" href=\"#6b69788c153144bb8\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Pesquisa para Tese de Doutorado<\/span><\/a><\/h4><\/div><div id=\"6b69788c153144bb8\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_6b69788c153144bb8\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 808<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 0 horas<\/p>\n<ul>\n<li>DeGroot, M. H. (1989). Probability and Statistics. Addison-Wesley (2\u00aa. edi\u00e7\u00e3o);<\/li>\n<li>Ross, S. (2009). A First Course in Probability. Prentice Hall (8\u00b0 Edi\u00e7\u00e3o).<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-0c505f6595460d748 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_0c505f6595460d748\"><a aria-expanded=\"false\" aria-controls=\"0c505f6595460d748\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#0c505f6595460d748\" href=\"#0c505f6595460d748\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Probabilidade Avan\u00e7ada I<\/span><\/a><\/h4><\/div><div id=\"0c505f6595460d748\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_0c505f6595460d748\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 851<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Espa\u00e7os de probabilidade.<\/li>\n<li>Revis\u00e3o conceitos de teoria da medida: esperan\u00e7a e distribui\u00e7\u00f5es.<\/li>\n<li>Esperan\u00e7a condicional.<\/li>\n<li>Distribui\u00e7\u00e3o condicional.<\/li>\n<li>Teoremas limites para vari\u00e1veis independentes: leis dos grandes n\u00fameros, converg\u00eancia de s\u00e9ries, teorema do limite central (caso gaussiano).<\/li>\n<li>Converg\u00eancia de medidas em espa\u00e7os m\u00e9tricos.<\/li>\n<li>Introdu\u00e7\u00e3o ao movimento browniano.<\/li>\n<li>Teorema de Donsker.<\/li>\n<li>Distribui\u00e7\u00f5es infinitamente divis\u00edveis.<\/li>\n<li>Teorema do limite central para vari\u00e1veis independentes (caso geral).<\/li>\n<li>Processos estacion\u00e1rios e teorema erg\u00f3dico de Birkhoff.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Ara\u00fajo, A.; Gin\u00e9, E. (1981). The Central Limit Theorem for Real and Banach Valued Random Variables. Wiley.<\/li>\n<li>Billingsley, P. (1995). Probability and Measure (3a. edi\u00e7\u00e3o). Wiley.<\/li>\n<li>Billingsley, P. (1968). Convergence of Probability Measures.<\/li>\n<li>Chung, K. L. (1974). A Course in Probability Theory. Academic Press.<\/li>\n<li>Durrett, R. (1991). Probability: Theory and Examples. Duxbury.<\/li>\n<li>Lo\u00e8ve, M. Probability Theory I (1977). Springer.<\/li>\n<li>Lo\u00e8ve, M. Probability Theory II (1978). Springer.<\/li>\n<li>Varadhan, S.R.S. (2001). Probability Theory. Courant Lecture Notes, 7. Amer. Math.Soc.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-ec29358dd52f25ad2 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_ec29358dd52f25ad2\"><a aria-expanded=\"false\" aria-controls=\"ec29358dd52f25ad2\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#ec29358dd52f25ad2\" href=\"#ec29358dd52f25ad2\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Processos Estoc\u00e1sticos<\/span><\/a><\/h4><\/div><div id=\"ec29358dd52f25ad2\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_ec29358dd52f25ad2\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 852<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong><\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Martingalas a par\u00e2metro discreto e cont\u00ednuo.<\/li>\n<li>Movimento browniano.<\/li>\n<li>Processos de Markov.<\/li>\n<li>Integra\u00e7\u00e3o estoc\u00e1stica e a f\u00f3rmula de It\u00f4.<\/li>\n<li>Equa\u00e7\u00f5es diferenciais estoc\u00e1sticas e difus\u00f5es.<\/li>\n<li>Outros t\u00f3picos de acordo com o interesse do instrutor e da turma.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Sato, K. (1999) L\u00e9vy processes and Infinitely divisible distributions. Cambridge University Press.<\/li>\n<li>Karatzas, I.; Shreve, S. (2008). Brownian Motion and Stochastic Calculus (2\u00aa edi\u00e7\u00e3o). New York, Springer-Verlag.<\/li>\n<li>Revuz, D.; Yor, M. (2004). Continuous Martingales and Brownian Motion (3\u00aa edi\u00e7\u00e3o). Springer-Verlag.<\/li>\n<li>Varadhan, S.R.S. (2007). Stochastic Processes. Courant Lect Notes 16, Am. Math. Soc.<\/li>\n<\/ul>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1q-ELmJnMtzix4V2je8o3wSOwZfODhgXw\/edit?usp=drive_link&amp;ouid=115542160518104501271&amp;rtpof=true&amp;sd=true\">Sugest\u00e3o de ementa: Exame de Pr\u00e9-Qualifica\u00e7\u00e3o<\/a><\/p>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-51f79a8eb478a08b9 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_51f79a8eb478a08b9\"><a aria-expanded=\"false\" aria-controls=\"51f79a8eb478a08b9\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#51f79a8eb478a08b9\" href=\"#51f79a8eb478a08b9\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Semin\u00e1rios de Doutorado I, II, III e IV<\/span><\/a><\/h4><\/div><div id=\"51f79a8eb478a08b9\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_51f79a8eb478a08b9\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digos:<\/strong> MAD 801 a 804<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 15 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>Ementa vari\u00e1vel baseada na apresenta\u00e7\u00e3o e discuss\u00e3o de trabalhos cient\u00edficos publicados ou por ser publicados em uma determinada \u00e1rea de pesquisa.<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-c04cb54a67e70d785 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_c04cb54a67e70d785\"><a aria-expanded=\"false\" aria-controls=\"c04cb54a67e70d785\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#c04cb54a67e70d785\" href=\"#c04cb54a67e70d785\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Teoria Bayesiana<\/span><\/a><\/h4><\/div><div id=\"c04cb54a67e70d785\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_c04cb54a67e70d785\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 862<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Modelos estat\u00edsticos: permutabilidade, permutabilidade parcial, sufici\u00eancia e invari\u00e2ncia.<\/li>\n<li>An\u00e1lise conjugada, prioris de refer\u00eancia e teoria assint\u00f3tica.<\/li>\n<li>Intervalos e regi\u00f5es de credibilidade.<\/li>\n<li>Compara\u00e7\u00e3o de modelos: testes de hip\u00f3teses, fatores de Bayes, medidas de discrep\u00e2ncia e distribui\u00e7\u00f5es preditivas.<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Bernardo, J. M. e Smith, A. F. M. (1994). Bayesian Theory. Wiley;<\/li>\n<li>Robert, C. (1995). The Bayesian Choice. Springer-Verlag.<\/li>\n<\/ul>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1IX6aDXAEh6MGFTjFk6oLxnDQ-RjtR_oW\/edit?usp=sharing&amp;ouid=115542160518104501271&amp;rtpof=true&amp;sd=true\">Sugest\u00e3o de ementa: Exame de Pr\u00e9-Qualifica\u00e7\u00e3o<\/a><\/p>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-c726cdf7f7657d68b fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_c726cdf7f7657d68b\"><a aria-expanded=\"false\" aria-controls=\"c726cdf7f7657d68b\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#c726cdf7f7657d68b\" href=\"#c726cdf7f7657d68b\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">Teoria Frequentista<\/span><\/a><\/h4><\/div><div id=\"c726cdf7f7657d68b\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_c726cdf7f7657d68b\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 861<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Fam\u00edlia exponencial e sufici\u00eancia.<\/li>\n<li>Fun\u00e7\u00f5es de perda.<\/li>\n<li>Estimadores:\n<ul>\n<li>desigualdade da informa\u00e7\u00e3o,<\/li>\n<li>v\u00edcio,<\/li>\n<li>fam\u00edlias completas e m\u00ednima vari\u00e2ncia uniforme,<\/li>\n<li>estima\u00e7\u00e3o minimax e admissibilidade.<\/li>\n<\/ul>\n<\/li>\n<li>Verossimilhan\u00e7a: otimalidade assint\u00f3tica e invari\u00e2ncia.<\/li>\n<li>Testes de hip\u00f3teses:\n<ul>\n<li>lema de Neyman-Pearson,<\/li>\n<li>maior poder uniforme,<\/li>\n<li>limites de confian\u00e7a,<\/li>\n<li>testes n\u00e3o viciados,<\/li>\n<li>invari\u00e2ncia e testes condicionais.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Refer\u00eancias:<\/strong><\/p>\n<ul>\n<li>Lehmann, E. L. (1983). The Theory of Point Estimation. Wiley.<\/li>\n<li>Lehmann, E. L. (1986). Testing Statistical Hypotheses. Wiley.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-9710740bc9163ecd6 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_9710740bc9163ecd6\"><a aria-expanded=\"false\" aria-controls=\"9710740bc9163ecd6\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#9710740bc9163ecd6\" href=\"#9710740bc9163ecd6\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados de Estat\u00edstica I e II<\/span><\/a><\/h4><\/div><div id=\"9710740bc9163ecd6\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_9710740bc9163ecd6\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digos:<\/strong> MAD 821 e 822<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-05ad7ccbda0333e26 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_05ad7ccbda0333e26\"><a aria-expanded=\"false\" aria-controls=\"05ad7ccbda0333e26\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#05ad7ccbda0333e26\" href=\"#05ad7ccbda0333e26\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Probabilidade I e II<\/span><\/a><\/h4><\/div><div id=\"05ad7ccbda0333e26\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_05ad7ccbda0333e26\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digos:<\/strong> MAD 854 e 855<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-46bf6f1a9f8324f03 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_46bf6f1a9f8324f03\"><a aria-expanded=\"false\" aria-controls=\"46bf6f1a9f8324f03\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#46bf6f1a9f8324f03\" href=\"#46bf6f1a9f8324f03\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Processos Estoc\u00e1sticos<\/span><\/a><\/h4><\/div><div id=\"46bf6f1a9f8324f03\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_46bf6f1a9f8324f03\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 842<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-018d5db29a9d47e64 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_018d5db29a9d47e64\"><a aria-expanded=\"false\" aria-controls=\"018d5db29a9d47e64\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#018d5db29a9d47e64\" href=\"#018d5db29a9d47e64\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Amostragem<\/span><\/a><\/h4><\/div><div id=\"018d5db29a9d47e64\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_018d5db29a9d47e64\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 873<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel em t\u00f3picos da Amostragem. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-1d2ee619296536220 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_1d2ee619296536220\"><a aria-expanded=\"false\" aria-controls=\"1d2ee619296536220\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#1d2ee619296536220\" href=\"#1d2ee619296536220\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Computa\u00e7\u00e3o Bayesiana<\/span><\/a><\/h4><\/div><div id=\"1d2ee619296536220\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_1d2ee619296536220\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 871<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel em t\u00f3picos da Computa\u00e7\u00e3o Bayesiana. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-fdd680c53ee22c46d fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_fdd680c53ee22c46d\"><a aria-expanded=\"false\" aria-controls=\"fdd680c53ee22c46d\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#fdd680c53ee22c46d\" href=\"#fdd680c53ee22c46d\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Estat\u00edstica Espacial<\/span><\/a><\/h4><\/div><div id=\"fdd680c53ee22c46d\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_fdd680c53ee22c46d\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 874<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel em t\u00f3picos da Estat\u00edstica Espacial. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-a59ea317553cc963e fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_a59ea317553cc963e\"><a aria-expanded=\"false\" aria-controls=\"a59ea317553cc963e\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#a59ea317553cc963e\" href=\"#a59ea317553cc963e\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Estat\u00edstica em Finan\u00e7as<\/span><\/a><\/h4><\/div><div id=\"a59ea317553cc963e\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_a59ea317553cc963e\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 877<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel em t\u00f3picos da estat\u00edstica aplicada a finan\u00e7as. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-219f8d1022899b0fc fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_219f8d1022899b0fc\"><a aria-expanded=\"false\" aria-controls=\"219f8d1022899b0fc\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#219f8d1022899b0fc\" href=\"#219f8d1022899b0fc\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Modelos Din\u00e2micos<\/span><\/a><\/h4><\/div><div id=\"219f8d1022899b0fc\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_219f8d1022899b0fc\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 872<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel em t\u00f3picos de Modelos Din\u00e2micos. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-eecfd75f58f6ad83e fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_eecfd75f58f6ad83e\"><a aria-expanded=\"false\" aria-controls=\"eecfd75f58f6ad83e\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#eecfd75f58f6ad83e\" href=\"#eecfd75f58f6ad83e\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Robustez<\/span><\/a><\/h4><\/div><div id=\"eecfd75f58f6ad83e\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_eecfd75f58f6ad83e\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 875<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel em t\u00f3picos de Robustez. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div><\/div><\/div><div class=\"fusion-panel panel-default panel-9e36bff8c0be8e529 fusion-toggle-no-divider\" style=\"--awb-content-font-size:14px;--awb-content-font-family:&quot;Archivo&quot;;--awb-content-font-style:normal;--awb-content-font-weight:400;--awb-title-font-family:&quot;Archivo&quot;;--awb-title-font-weight:600;--awb-title-font-style:normal;--awb-title-font-size:16px;--awb-title-color:var(--awb-color8);--awb-content-color:var(--awb-color8);\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\" id=\"toggle_9e36bff8c0be8e529\"><a aria-expanded=\"false\" aria-controls=\"9e36bff8c0be8e529\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-61-3\" data-target=\"#9e36bff8c0be8e529\" href=\"#9e36bff8c0be8e529\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box active-icon fa-caret-up fas\" aria-hidden=\"true\"><\/i><i class=\"fa-fusion-box inactive-icon fa-caret-down fas\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">T\u00f3picos Avan\u00e7ados em Teoria dos Valores Extremos<\/span><\/a><\/h4><\/div><div id=\"9e36bff8c0be8e529\" class=\"panel-collapse collapse\" aria-labelledby=\"toggle_9e36bff8c0be8e529\"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p><strong>C\u00f3digo:<\/strong> MAD 876<\/p>\n<p><strong>Carga hor\u00e1ria:<\/strong> 60 horas<\/p>\n<p><strong>Ementa:<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Disciplina livre de ementa vari\u00e1vel em t\u00f3picos da Teoria dos Valores Extremos. Pode acomodar v\u00e1rias situa\u00e7\u00f5es como cursos espec\u00edficos de professores colaboradores ou visitantes.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/p>","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"100-width.php","meta":{"footnotes":""},"class_list":["post-61","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/ppge.im.ufrj.br\/en\/wp-json\/wp\/v2\/pages\/61","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ppge.im.ufrj.br\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ppge.im.ufrj.br\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ppge.im.ufrj.br\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ppge.im.ufrj.br\/en\/wp-json\/wp\/v2\/comments?post=61"}],"version-history":[{"count":17,"href":"https:\/\/ppge.im.ufrj.br\/en\/wp-json\/wp\/v2\/pages\/61\/revisions"}],"predecessor-version":[{"id":1490,"href":"https:\/\/ppge.im.ufrj.br\/en\/wp-json\/wp\/v2\/pages\/61\/revisions\/1490"}],"wp:attachment":[{"href":"https:\/\/ppge.im.ufrj.br\/en\/wp-json\/wp\/v2\/media?parent=61"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}