Modelos multivariados para dados de contagem com excesso de zeros
Resumo
In this thesis we present two new distributions for modeling multivariate counting data with
overdispersion or underdispersion, zeros excess and correlation. Named the zero-inflated multivariate COM-Poisson (ZICOMP Type I) and (ZICOMP Type III) distributions, their constructs
were based on the extent in of the zero-inflated multivariate Poisson distributions ZIP Type I and
ZIP Type III in ((LIU; TIAN, 2015); (TIAN et al., 2014)). We developed important theoretical
properties of the two distributions, their regression models, likelihood ratio hypothesis testing
to help choose the best model, and a diagnostic analysis for the ZICOMP Type I distribution
regression model. The proposed distributions showed in both simulation study good results and
real data analysis. In a real data analysis the proposed distributions showed better adjustments
when compared to the ZIP Type I and ZIP Type III distributions, according to the Akaike (AIC)
and Bayesian (BIC) information criteria.
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