Estimation of reliability in a series system with random sample size

被引：13

作者：

Al-Mutairi, D. K. ^{[2
]}

Ghitany, M. E. ^{[2
]}

Gupta, Ramesh C. ^{[1
]}

机构：

[1] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA

[2] Kuwait Univ, Dept Stat & Operat Res, Fac Sci, Safat 13060, Kuwait

来源：

COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2011年 / 55卷 / 02期

关键词：

Truncated Poisson distribution; Series system; Random sample size; Asymptotic and bootstrap confidence intervals; Simulation study; GENERALIZED EXPONENTIAL-DISTRIBUTION; DECREASING FAILURE RATE; STATISTICAL-INFERENCE; LIFETIME DISTRIBUTION; RANDOM MINIMA; DISTRIBUTIONS; MAXIMA; LESS;

D O I：

10.1016/j.csda.2010.07.027

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we are interested in the estimation of the reliability coefficient R = P(X > Y), when the data on the minimum of two exponential samples, with random sample size, are available. The confidence intervals of R, based on maximum likelihood and bootstrap methods, are developed. The performance of these confidence intervals is studied through extensive simulation. A numerical example, based on a real data, is presented to illustrate the implementation of the proposed procedure. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：964 / 972

页数：9

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