Estimation of P(Y < X) for Weibull Distribution Under Progressive Type-II Censoring

被引：34

作者：

Valiollahi, R. ^{[1
]}

Asgharzadeh, A. ^{[2
]}

Raqab, Mohammad Z. ^{[3
]}

机构：

[1] Univ Semnan, Dept Stat, Semnan, Iran

[2] Univ Mazandaran, Dept Stat, Babol Sar, Iran

[3] Univ Jordan, Dept Math, Amman, Jordan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2013年 / 42卷 / 24期

关键词：

P(Y-LESS-THAN-X); PARAMETERS; INFERENCE; LIFE;

D O I：

10.1080/03610926.2011.650265

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：

Based on progressively Type II censored samples, we consider the estimation of R = P(Y < X) when X and Y are two independent Weibull distributions with different shape parameters, but having the same scale parameter. The maximum likelihood estimator, approximate maximum likelihood estimator, and Bayes estimator of R are obtained. Based on the asymptotic distribution of R, the confidence interval of R are obtained. Two bootstrap confidence intervals are also proposed. Analysis of a real data set is given for illustrative purposes. Monte Carlo simulations are also performed to compare the different proposed methods. © 2013 Taylor and Francis Group, LLC.

引用

页码：4476 / 4498

页数：23

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Estimation of P(Y &lt; X) for Weibull Distribution Under Progressive Type-II Censoring

Estimation of P(Y < X) for Weibull Distribution Under Progressive Type-II Censoring