Logistic regression with unknown sizes has many important applications in biological and medical sciences. All models about this problem in the literature are parametric ones. A semiparametric regression model is proposed. This model incorporates overdispersion due to the variation of sizes, and allows general dose-response relations. An Expectation Conditional Maximization algorithm is provide...

Mixed Poisson regression models, a class of generalized linear mixed models, are commonly used to analyze count data that exhibit overdispersion. Because inference for these models can be computationally difficult, simplifying distributional assumptions are often made. We consider an influence function representing effects of infinitesimal perturbations of the mixing distribution. This function...

Generalized linear mixed models are flexible tools for modeling non-normal data and are useful for accommodating overdispersion in Poisson regression models with random effects. Their main difficulty resides in the parameter estimation because there is no analytic solution for the maximization of the marginal likelihood. Many methods have been proposed for this purpose and many of them are impl...

The aim of this note is to emphasize the fact, not observed previously in the literature, that many discrepancy measures used in tests related to different stochastic orders can be expressed as expectations of order statistics. In this way, we provide a new meaning to the corresponding test statistics which allows us to understand better, and potentially improve, the testing procedures. As illu...

Count data are ubiquitous in ecology and the Poisson generalized linear model (GLM) is commonly used to association between counts explanatory variables of interest. When fitting this data, one typically proceeds by first confirming that assumptions satisfied. If residuals appear be overdispersed or if there zero-inflation, key Poison GLM may violated researchers will then consider alternatives...

ABSTRAK
 Poisson regression merupakan salah satu model regresi yang dapat digunakan untuk menganalisis hubungan antara variabel respon berupa data count dengan prediktor count, kontinu, kategorik atau campuran syarat terjadi equidispersion yaitu nilai variansi dari harus sama rata-ratanya. Namun sering adalah pelanggaran terhadap equidispersion. Generalized Regression (GPR) suatu lebih dan...

In this article we present a class of mixed Poisson regression models with varying dispersion arising from non-conjugate to the mixing distributions for modelling overdispersed claim counts in non-life insurance. The proposed family combined adopted framework can provide sufficient flexibility dealing different levels overdispersion. For illustrative purposes, Poisson-lognormal model structures...