DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL

Abstract

DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL

Abstract

A new class of multivariate discrete distributions with binomial and multinomial marginals is studied. This class of distributions is obtained in a natural manner using probabilistic properties of the sampling model considered. Some possible applications in game theory, life testing and exceedance models for order statistics are discussed.

Keywords

• Discrete multivariate distributions,Bivariate binomial distribution,Multinomial distribution,Probability density function,Poisson approximation,2000 AMS Classification: 62 E 15

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