The bivariate Poisson distribution is a popular distribution for modeling bivariate count data. Its basic assumptions and marginal equi-dispersion, however, may prove limiting in some contexts. To allow for data dispersion, we develop here a bivariate Conway–Maxwell–Poisson (COM–Poisson) distribution that includes the bivariate Poisson, bivariate Bernoulli, and bivariate geometric distributions...

The bivariate Poisson model is the most widely used for counts, and in recent years, several regression models have been developed order to analyse two response variables that are possibly correlated. In this paper, a particular class of model, from Bernoulli will be presented investigated. proposed use dependence parameters can positively negatively correlated data, whereas more well-known mod...

February 15, 2013 Type Package Title Poisson lognormal and bivariate Poisson lognormal distribution Version 0.4 Date 2008-04-29 Author Vidar Grøtan and Steinar Engen Maintainer Vidar Grøtan Description Functions for obtaining the density, random deviates and maximum likelihood estimates of the Poisson lognormal distribution and the bivariate Poisson lognormal distribu...

February 20, 2015 Type Package Title Poisson lognormal and bivariate Poisson lognormal distribution Version 0.4 Date 2008-04-29 Author Vidar Grøtan and Steinar Engen Maintainer Vidar Grøtan Description Functions for obtaining the density, random deviates and maximum likelihood estimates of the Poisson lognormal distribution and the bivariate Poisson lognormal distribu...

In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains the bivariate generalized exponential-Poisson, bivariate generalized exponential-logarithmic, bivariate generalized exponential-binomial and bivariate generalized exponential-negative binomial distributions as specia...