Poisson approximation for a sum of beta geometric random variables

被引：0
|
作者：
Teerapaolarn, Kanint [1 ]
机构：
[1] Burapha Univ, Fac Sci, Dept Math, Saen Suk 20131, Chonburi, Thailand
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2023年 / 18卷 / 04期
关键词：
Bete geometric distribution; Poisson approximation; Stein-Chen method; w-functions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use the Stein-Chen method and the beta geometric w-functions to give a bound for the total variation distance between the distribution of a sum of independent beta geometric random variables and a Poisson distribution with mean Sigma(n)(i=1) beta(i)/alpha(i)-1, where alpha(i) and beta(i) are parameters of each beta geometric distribution. With this bound, the Poisson distribution with this mean can be used as a good estimate when beta(i) are small and all alpha(i) are large.
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页码：719 / 722
页数：4
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