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

被引：31
|
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.
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页码：4476 / 4498
页数：23
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