[ABE-L] Ciclo de Seminários do DEst-UFBA

['Lizandra Castilho Fabio' via abe-l@ime.usp.br]

Prezados Redistas,



Na próxima quinta-feira, dia *05 de maio, às 14h00*, daremos continuidade
aos Seminários em Estatística e Ciência de Dados do Departamento de
Estatística da Universidade Federal da Bahia.



Este seminário será ministrado pelo *Prof. **Luis Mauricio Castro Cepero*.
Atualmente, ele é professor associado do Departamento de Estatística da
Pontifícia Universidade Católica do Chile. A modelagem de dados
logitudinais censurados é uma das suas áreas de atuação. (
https://www.mat.uc.cl/~mcastro/public_html/About_Me.html)

Os detalhes do seminário são os seguintes:

 ====================================================

*Title*: Modelling Point Referenced Spatial Count Data: A Poisson Process
Approach

Random fields are useful mathematical tools for representing natural
phenomena with complex dependence structures in space and/or time. In
particular, the Gaussian random field is  commonly used  due to its
attractive properties and mathematical tractability. However, this
assumption seems to be restrictive when dealing with counting data. To deal
with this situation, we propose  a random field with a Poisson marginal
distribution by considering a sequence of independent copies of a random
field with an exponential marginal distribution as 'inter-arrival times' in
the counting renewal processes framework. Our proposal can be viewed as a
spatial generalization of the Poisson counting process. Unlike the
classical hierarchical  Poisson Log-Gaussian model, our proposal generates
a (non)-stationary random field that is mean square continuous and with
Poisson marginal distributions. For the proposed Poisson spatial random
field, analytic expressions for the covariance function and the bivariate
distribution are provided. In an extensive simulation study, we investigate
the weighted pairwise likelihood as a method for estimating the Poisson
random field parameters.
Finally, the effectiveness of our methodology is illustrated by an
analysis  of reindeer pellet-group survey data,  where a zero-inflated
version of the proposed model is compared with  zero-inflated  Poisson
Log-Gaussian and   Poisson Gaussian copula  models.

Joint work with D. Morales, M. Bevilacqua and C. Caamaño.



*Dia:* 05 de maio de 2022.



*Hora:* 14h00.



*Link: *https://meet.google.com/djy-avfu-yub




Lizandra C. Fabio

Paulo Henrique F. da Silva
Coordenadores da atividade

-- 

*Lizandra Castilho Fabio*
Associate Professor
Department of Statistics
Federal University of Bahia, Brazil
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