A GENERALIZED BINOMIAL-DISTRIBUTION

被引：52

作者：

DREZNER, Z ^{[1
]}

FARNUM, N ^{[1
]}

机构：

[1] CALIF STATE UNIV FULLERTON,DEPT MANAGEMENT SCI,FULLERTON,CA 92634

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1993年 / 22卷 / 11期

关键词：

CORRELATED BERNOULLI TRIALS; BIMODAL DISTRIBUTION;

D O I：

10.1080/03610929308831202

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：

A new generalization of the binomial distribution is introduced that allows dependence between trials, nonconstant probabilities of success from trial to trial, and which contains the usual binomial distribution as a special case. Along with the number of trials and an initial probability of 'success', an additional parameter that controls the degree of correlation between trials is introduced. The resulting class of distributions includes the binomial, unimodal distributions, and bimodal distributions. Formulas for the moments, mean, and variance of this distribution are given along with a method for fitting the distribution to sample data.

引用

页码：3051 / 3063

页数：13

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