ISSN:
1435-926X
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The present paper deals with two types of generalized general binomial (binomial or negative binomial) distributions: (i) a univariate general binomial generalized by a bivariate distribution and (ii) a bivariate general binomial generalized by two independent univariate distributions. The probabilities, moments, conditional distributions and regression functions for these distributions are obtained in terms of bipartitional polynomials. Moreover recurrence relations for the probabilities and moments, independent of the bipartitional polynomials, are given. Finally these general results are applied to the (i) Binomial-Bivariate Poisson and (ii) Bivariate Binomial-Poissons distributions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01902881
Permalink