Count data in practice rarely conform to the equidispersion assumption that the standard Poisson regression model imposes. When counts are overdispersed or underdispersed, the generalized Poisson regression model (GPRM) steps in as a more accommodating alternative, extending the classical framework to handle such varia...
F. Almulhim, A. Hammad, E. Hussam et al.· Revista Internacional de Mét...· 0 citations
Mixed Poisson regression models are widely used for analyzing count data across diverse disciplines, owing to their ability to accommodate overdispersion. A persistent challenge in such models, however, is multicollinearity among explanatory variables, which undermines the reliability of regression coefficient estimate...
O. Alqasem, A. Hammad, M. A. El-Qurashi et al.· International Journal of Unc...· 0 citations
An improved shrinkage estimator for the NBRM is proposed, referred to as a novel class of negative binomial Liu-type estimator, aiming to reduce estimation variance while maintaining stable parameter estimates under conditions of multicollinearity.
E. H. Hafez, A. Hammad, R. Aldallal et al.· Statistics, Optimization &am...· 0 citations
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