A Bivariate Generalization of the Noncentral Negative Binomial Distribution
S. H. Ong, Choung Min Ng · Communications in Statistics - Simulation and Computation · 2012
This article proposes a bivariate generalization of the noncentral negative binomial distribution which arises as a model in photon and neural counting. This bivariate generalization is derived as a mixed shifted bivariate negative binomial distribution. Various properties and parameter estimation, especially by a minimum distance method based on the probability generating function, are considered. To show the practical usefulness of the bivariate distribution proposed, an application to model low-flux astronomical images is discussed and a real data set has been analyzed.