Discrete generalized Liouville-Type distribution and related multivariate distributions

Summary Discrete analogue of the Liouville distribution is defined and is termed as Discrete generalized Liouville-Type distribution (DGL-TD) Firstly, properties in its factorial and ordinary momen’s are given. Then by finding the covariance matrix, partial and multiple correlations for DGL-TD are evaluated. Multinomial, multivariate negative binomal and multivariate log series distributions are shown as particular cases of this general distribution. The asymptotic distribution of the estimates of the parameters is also attempted.