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A new bivariate binomial distribution

โœ Scribed by Atanu Biswas; Jing-Shiang Hwang


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
149 KB
Volume
60
Category
Article
ISSN
0167-7152

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โœฆ Synopsis


To bring correlation between binomial random variables is an important statistical problem with a lot of theoretical and practical applications. In this paper we provide a new formulation of bivariate binomial distribution in the sense that marginally each of the two random variables has a binomial distribution and they have some non-zero correlation in the joint distribution. A 2 ร— 2 contingency table is the immediate application of the proposed model.


๐Ÿ“œ SIMILAR VOLUMES


Bivariate POISSON Binomial Distributions
โœ Dr. Ch. A. Charalambides; Dr. H. Papageorgiou ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 497 KB
On Countable Mixtures of Bivariate Binom
โœ H. Papageorgiou; Katerina M. David ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 688 KB

A unified treatment is given for mixtures of bivariate binomial distributions with respect to their index parameter(s). The use of probability generating functions is employed and a number of interesting properties including probabilities, factorial moments, factorial cumulants and conditional distr