From 14b7107d48dbafd1d5c2be8f590a88d30253b49a Mon Sep 17 00:00:00 2001 From: Eduardo Junior <edujrrib@gmail.com> Date: Wed, 29 Jun 2016 17:26:51 -0300 Subject: [PATCH] =?UTF-8?q?Adiciona=20slides=20com=20a=20vers=C3=A3o=20apr?= =?UTF-8?q?esentada=20dia=2028/06?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- presentations/slides-tcc.Rmd | 42 +++++++++++++++++++++-------------- presentations/slides-tcc.pdf | Bin 662066 -> 662063 bytes 2 files changed, 25 insertions(+), 17 deletions(-) diff --git a/presentations/slides-tcc.Rmd b/presentations/slides-tcc.Rmd index 754157e..9eb5971 100644 --- a/presentations/slides-tcc.Rmd +++ b/presentations/slides-tcc.Rmd @@ -9,6 +9,7 @@ output: highlight: tango includes: in_header: preambulo-beamer.tex + after_body: thanks.tex keep_tex: yes slide_level: 3 --- @@ -46,9 +47,8 @@ library(cmpreg) \includegraphics[height=0.9cm]{./images/count} \end{figure} -São variáveis aleatórias aleatórias que representam o número de -ocorrências de um evento em um dominÃo discreto ou contÃnuo. -\vspace{0.5cm} +São variáveis aleatórias que representam o número de ocorrências de um +evento em um dominÃo discreto ou contÃnuo. \vspace{0.5cm} Se $Y$ é uma variável aleatória de contagem, $y = 0, 1, 2, \ldots$ \vspace{0.5cm} @@ -188,9 +188,9 @@ Proposta por @Conway1962. * Não tem expressão fechada para média e variância; * Apresenta distribuições bastante conhecidas como casos particulares: - - Poisson - $\nu = 1$; - - Bernoulli - $\nu \to \infty$; - - Geométrica - $\nu = 0$ e $\lambda < 1$. + - Poisson, quando $\nu = 1$; + - Bernoulli, quando $\nu \to \infty$; + - Geométrica, quando $\nu = 0$ e $\lambda < 1$. ### Distribuição COM-Poisson ### @@ -457,17 +457,18 @@ em que $\lambda_i = e^{X_i\beta}$, com $X_i$ o vetor $(x_{i1}, x_{i2}, \begin{equation} \label{eqn:loglik-hurdlecmp} \Ell(\phi, \beta, \gamma \mid \underline{y}) = - \ind [\underline{\pi}] \cdot (1-\ind) \left [ - (1-\underline{\pi})\left ( - \frac{\underline{\lambda}^y}{(y!)^{e^\phi} - Z(\underline{\lambda}, \phi)} - \right ) \left ( - 1-\frac{1}{Z(\underline{\lambda}, \phi)} - \right ) \right ] + \prod_{i \in \Omega_0} \left [ \pi_i \right ] + \prod_{i \in \Omega_+} \left [ + (1-\pi_i) \left ( + \frac{\lambda_i^{y_i}}{(y_i!)^{e^\phi} + Z(\lambda_i, \phi)} + \right ) \left ( 1-\frac{1}{Z(\lambda_i, \phi)} \right ) + \right ] \end{equation} \noindent -em que $\ind$ é uma função indicadora para $y = 0$ +$\Omega_0 = {i \mid y_i = 0}$ \\ +$\Omega_+ = {i \mid y_i > 0}$ \end{block} ### Verossimilhança do modelo misto COM-Poisson ### @@ -1129,6 +1130,7 @@ digits <- c(1, 1, 0, 2, 2, 2, 0, 4, 2) \midrule ```{r body21, results="asis"} +digits[8] <- -1 ##---------------------------------------------------------------------- ## Copiar e colar o corpo do resultado na customização latex abaixo print(xtable(tab.ajuste[1:2, ], digits = digits), @@ -1142,6 +1144,7 @@ print(xtable(tab.ajuste[1:2, ], digits = digits), \midrule ```{r body22, results="asis"} +digits[8] <- 4 ##---------------------------------------------------------------------- ## Copiar e colar o corpo do resultado na customização latex abaixo print(xtable(tab.ajuste[3:4, ], digits = digits), @@ -1186,6 +1189,7 @@ print(xtable(tab.ajuste[7:8, ], digits = digits), \midrule ```{r body21b, results="asis"} +digits[8] <- -1 ##---------------------------------------------------------------------- ## Copiar e colar o corpo do resultado na customização latex abaixo print(xtable(tab.ajuste[1:2, ], digits = digits), @@ -1195,6 +1199,7 @@ print(xtable(tab.ajuste[1:2, ], digits = digits), add.to.row = list( pos = list(1), command = "\\rowcolor{teal!30}" )) +digits[8] <- 4 ``` \specialrule{0em}{0.5em}{0em} %% Apenas para espaçamento @@ -1339,7 +1344,7 @@ aux <- data.frame(modelo = "Quasi-Poisson", aux) predQ <- cbind(pred, aux) ##------------------------------------------- -pred.all <- rbind(predP, predC, predB, predQ) +pred.all <- rbind(predP, predC, predQ, predB) pred.all <- pred.all[with(pred.all, order(cult, aval, modelo)), ] ##---------------------------------------------------------------------- @@ -1350,7 +1355,7 @@ key <- list( lines = list(pch = 1:nlevels(pred.all$model) + 4, cex = 0.7), text = list(c("Poisson", "COM-Poisson", - "Binomial Negativa", "Quasi-Poisson")) + "Quasi-Poisson", "Binomial Negativa")) ) ## ## A escala do gráfico fica prejudicada, pois os limites do eixo y são @@ -1949,6 +1954,7 @@ print(xy1, position = c(0.57, 0, 1, 1), more = FALSE) ### ### * Similaridade entre inferências via modelo Quasi-Poisson e COM-Poisson; + * Desempenho do modelo Binomial Negativo; * Interpretação dos parâmetros nos modelos baseados na COM-Poisson; * Problemas numéricos para determinação da matriz hessiana no modelo @@ -1990,11 +1996,13 @@ Análise de dados de contagem: ### Trabalhos futuros ### +Sugestões para continuidade da pesquisa: + * Estudar reparametrizações do modelo COM-Poisson; * Avaliar aproximações da constante de normalização; 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