Resíduos no modelo de regressão Bell-Touchard

Abstract

The Bell-Touchard distribution and its regression model, are a promising alternative to the statistical models that are already established in the count data modelling, as Poisson and Negative Binomial models. Count data are observations such that the variable assume non-negative integer values and are useful, for example, to modelling the number of claims that happened in a given period of time, which are of interest to insurance companies, for example. The Poisson model, for this purpose, is not a model that does work well with the overdispersion problem, situation in which the variance is greater than the expectation. Alternatives to deal with this kind of problem emerged, being proposed the zero-inĆated models and the Negative Binomial model. The Bell-Touchard model, that is a generalization of Bell model, is an recent alternative that try to solve this kind of problem. In this masterŠs dissertation, a deeper research is made about residuals in the Bell-Touchard regression model and the main goal is to improve the academic literature about count data.