On constant stress accelerated life tests terminated by Type II censoring at one of the stress levels

被引:32
|
作者
Watkins, A. J. [1 ]
John, A. M. [1 ]
机构
[1] Univ Coll Swansea, Sch Business & Econ, Swansea SA2 8PP, W Glam, Wales
关键词
constant stress accelerated life test; design stress; expected fisher information; log-linear scale stress relationship; maximum likelihood; Type II censoring; Weibull distribution;
D O I
10.1016/j.jspi.2007.02.013
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 paper considers constant stress accelerated life tests terminated by a Type II censoring regime at one of the stress levels. We consider a model based on Weibull distributions with constant shape and a log-linear link between scale and the stress factor. We obtain expectations associated with the likelihood function, and use these to obtain asymptotically valid variances and correlations for maximum likelihood estimates of model parameters. We illustrate their calculation, and assess agreement with observed counterparts for finite samples in simulation experiments. We then use moments to compare the information obtained from variants of the design, and show that, with an appropriate allocation of items to stress levels, the design yields better estimates of model parameters and related quantities than a single stress experiment. (C) 2007 Elsevier B.V. All rights reserved.
引用
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页码:768 / 786
页数:19
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