Some recursive formulas related to inverse moments of the random variables with binomial-type distributions

被引：2

作者：

Zhao, Feng-Zhen ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

STATISTICS & PROBABILITY LETTERS | 2012年 / 82卷 / 07期

关键词：

Inverse moment; Recursive formula (Generalized) binomial distribution (Maximum; generalized) negative binomial distribution; BOUNDS;

D O I：

10.1016/j.spl.2012.03.026

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：

This paper considers the inverse moments of the random variables with binomial-type distributions. We first derive some recursive formulas related to the inverse moments of the random variables with binomial and negative binomial distributions. Then we investigate the inverse moments of the random variables with maximum negative binomial distributions by using the recursive formula related to the negative binomial distribution. We further obtain some similar results for the generalized binomial and negative binomial distributions. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1290 / 1296

页数：7

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