On bivariate generalized binomial and negative binomial distributions

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1981 Greece, Germany English Publisher:Springer Science and Business Media LLCJournal:Metrika, volume 28, pages 83-92 (issn: 0026-1335, eissn: 1435-926X,

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Authors: Charalambides, Ch.A.; Papageorgiou, H.;

doi: 10.1007/bf01902881

On bivariate generalized binomial and negative binomial distributions

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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.

Countries

Greece, Germany

Related Organizations

DigiZeitschriften
Germany
National and Kapodistrian University of Athens
Greece

Keywords

conditional distributions, bipartitional polynomials, recurrence relations, Exact distribution theory in statistics, bivariate generalized general binomial distributions, Article, 510.mathematics, Characterization and structure theory of statistical distributions, negative binomial distributions, regression functions, moments, bivariate binomial-Poisson distributions

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