Optimal progressive censoring plans for the Weibull distribution

被引:168
|
作者
Ng, HKT [1 ]
Chan, PS
Balakrishnan, N
机构
[1] So Methodist Univ, Dept Stat Sci, Dallas, TX 75275 USA
[2] Chinese Univ Hong Kong, Dept Stat, Shatin, Hong Kong, Peoples R China
[3] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
acceptance sampling plan; lifetime data; maximum likelihood estimators; missing information; progressive type II censoring;
D O I
10.1198/004017004000000482
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
In this article we compute the expected Fisher information and the asymptotic variance-covariance matrix of the maximum likelihood estimates based on a progressively type II censored sample from a Weibull distribution by direct calculation as well as the missing-information principle. We then use these values to determine the optimal progressive censoring plans. Three optimality criteria are considered, and some selected optimal progressive censoring plans are presented according to these optimality criteria. We also discuss the construction of progressively censored reliability sampling plans for the Weibull distribution. Three illustrative examples are provided with discussion.
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页码:470 / 481
页数:12
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