A Family of Bivariate Distributions Generated by the Bivariate Bernoulli Distribution

摘要: Abstract If X 1, 2, … is a sequence of independent Bernoulli random variables, the number successes in first n trials has binomial distribution and failures before rth success negative distribution. From both distributions, Poisson obtainable as limit. Moreover, gamma distributions (integer shape parameters) are limits normal limit binomial, Poisson, distributions. These basic facts from elementary probability have natural extensions to two dimensions because there unique bivariate In this article, such yielding family obtained studied.