Two new bivariate negative binomial distributions and their properties

Recently Kotoky and Chakarborty (2013) gave the mathematical expression for probability mass functions of bivariate Poisson distribution and its re-parameterization including some properties. On the basis of these expressions and properties an attempt has been made to derive two new bivariate negative Binomial distribution as a compound distribution of bivariate Poisson distribution. The different properties of new bivariate negative Binomial distribution have also been investigated.