A unified approach to bivariate discrete distributions |
| |
Authors: | C Satheesh Kumar |
| |
Institution: | (1) Department of Statistics, University of Kerala, Kariavattom, Trivandrum, Kerala, 695 581, India |
| |
Abstract: | Here we introduce a bivariate generalized hypergeometric factorial moment distribution (BGHFMD) through its probability generating
function (p.g.f.) whose marginal distributions are the generalized hypergeometric factorial moment distributions introduced
by Kemp and Kemp (Bull Int Stat Inst 43:336–338,1969). Well-known bivariate versions of distributions such as binomial, negative
binomial and Poisson are special cases of this distribution. A genesis of the distribution and explicit closed form expressions
for the probability mass function of the BGHFMD, its factorial moments and the p.g.f.’s of its conditional distributions are
derived here. Certain recurrence relations for probabilities, moments and factorial moments of the bivariate distribution
are also established. |
| |
Keywords: | Bivariate binomial Negative binomial and Poisson distributions Factorial moments Generalized hypergeometric function Generalized hypergeometric factorial moment distribution Probability generating function |
本文献已被 SpringerLink 等数据库收录! |
|