A FAMILY OF BIVARIATE BINOMIAL DISTRIBUTIONS GENERATED BY EXTREME BERNOULLI DISTRIBUTIONS

被引：6

作者：

OLUYEDE, BO ^{[1
]}

机构：

[1] GEORGIA STATE UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30303

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1994年 / 23卷 / 05期

关键词：

BIVARIATE EXTREMAL DISTRIBUTION; BIVARIATE DISTRIBUTION; POSITIVE DEPENDENCE; MARGINAL INDEX; GENERATING FUNCTION; LIMITING FORMS;

D O I：

10.1080/03610929408831337

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, bivariate binomial distributions generated by extreme bivariate Bernoulli distributions are obtained and studied. Representation of the bivariate binomial distribution generated by a convex combination of extreme bivariate Bernoulli distributions as a mixture of distributions in the class of bivariate binomial distribution generated by extreme bivariate Bernoulli distribution is obtained. A subfamily of bivariate binomial distributions exhibiting the property of positive and negative dependence is constructed. Some results on positive dependence notions as it relates to the bivariate binomial distribution generated by extreme bivariate Bernoulli distribution and a linear combination of such distributions are obtained.

引用

页码：1531 / 1547

页数：17

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