Some remarks on classical and Bayesian reliability estimation of binomial and Poisson distributions

被引：1

作者：

Chaturvedi, Ajit ^{[1
]}

Tiwari, Neeraj

Kumar, Sanjay

机构：

[1] Univ Delhi, Dept Stat, Delhi 110007, India

[2] Kumaun Univ, Dept Stat, Almora 263601, India

来源：

STATISTICAL PAPERS | 2007年 / 48卷 / 04期

关键词：

binomial and Poisson distributions; reliability function; stress-strength model; Bayes estimators;

D O I：

10.1007/s00362-007-0363-2

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：

The problems of estimating the reliability function and Pr{X-1 + ... + X-k <= Y} are considered. The random variables X's and Y are assumed to follow binomial and Poisson distributions. Classical estimators available in the literature are discussed and Bayes estimators are derived. In order to obtain the estimators of these parametric functions, the basic role is played by the estimators of factorial moments of the two distributions.

引用

页码：683 / 693

页数：11

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