ON THE CONVOLUTION OF HETEROGENEOUS BERNOULLI RANDOM VARIABLES

被引：0

作者：

Xu, Maochao ^{[1
]}

Balakrishnan, N. ^{[2
]}

机构：

[1] Illinois State Univ, Dept Math, Normal, IL 61761 USA

[2] McMaster Univ, Hamilton, ON, Canada

来源：

JOURNAL OF APPLIED PROBABILITY | 2011年 / 48卷 / 03期

关键词：

Bernoulli; heterogeneous variable; likelihood ratio order; majorization; reversed hazard rate order; INDEPENDENT TRIALS; ORDERING PROPERTIES; SUCCESSES; NUMBER;

D O I：

暂无

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, some ordering properties of convolutions of heterogeneous Bernoulli random variables are discussed. It is shown that, under some suitable conditions, the likelihood ratio order and the reversed hazard rate order hold between convolutions of two heterogeneous Bernoulli sequences. The results established here extend and strengthen the previous results of Pledger and Proschan (1971) and Boland, Singh and Cukic (2002).

引用

页码：877 / 884

页数：8

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