Optimal progressive group-censoring plans for exponential distribution in presence of cost constraint

被引：15
|
作者：
Wu, Shuo-Jye [1 ]
Huang, Syuan-Rong [2 ]
机构：
[1] Tamkang Univ, Dept Stat, Taipei 251, Taiwan
[2] Tamkang Univ, Grad Inst Management Sci, Taipei 251, Taiwan
来源：
STATISTICAL PAPERS | 2010年 / 51卷 / 02期
关键词：
Grouped data; Progressive censoring; Sensitivity analysis; Type-I censoring; Variance optimality; STEP-STRESS TEST; MIXED-INTEGER; INTERVAL; LIFE; PARAMETERS;
D O I：
10.1007/s00362-009-0212-1
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：
This article discusses a life test under progressive type-I group-censoring. We use maximum likelihood method to obtain the point and interval estimators of the parameter of lifetime distribution. In order to obtain a precise estimate of mean life, one needs to design an optimal life test. Thus, this article proposes an approach to determine the number of test units, number of inspections, and length of inspection interval of a life test under a pre-determined budget of experiment such that the asymptotic variance of estimator of mean life is minimum. The method will be applied to two numerical examples and the sensitivity analysis will be investigated.
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页码：431 / 443
页数：13
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