Ordering comparison of negative binomial random variables with their mixtures

被引：13

作者：

Alamatsaz, Mohammad Hossein ^{[1
]}

Abbasi, Somayyeh ^{[1
]}

机构：

[1] Univ Isfahan, Dept Stat, Fac Sci, Esfahan 8174673441, Iran

来源：

STATISTICS & PROBABILITY LETTERS | 2008年 / 78卷 / 14期

关键词：

D O I：

10.1016/j.spl.2008.01.092

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 we compare a negative binomial distribution having a fixed probability of success with a negative binomial distribution having a random probability of Success. Comparisons are made with respect to various types of orderings, such as, simple stochastic ordering. likelihood ratio ordering, uniformly more variable ordering, convex ordering and expectation ordering. As a special case, the two distributions are compared when they have the same mean. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：2234 / 2239

页数：6