Estimations for a simple step-stress model with progressively type-ii censored data

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Title:	Estimations for a simple step-stress model with progressively type-ii censored data
Authors:	Wu, Shuo-jye;Lee, Hsiu-mei;Chen, Dar-hsin
Contributors:	淡江大學統計學系
Keywords:	Accelerated life test;confidence interval;exponential distribution;maximum likelihood method;pivotal quantity;progressive type II censoring
Date:	2005-10-01
Issue Date:	2009-11-30 12:56:39 (UTC+8)
Publisher:	World Scientific Publishing
Abstract:	With today's high technology, some life tests result in no or very few failures by the end of test. In such cases, an approach is to do life test at higher-than-usual stress conditions in order to obtain failures quickly. This study discusses the point and interval estimations of parameters on the simple step-stress model in accelerated life testing with progressive type II censoring. An exponential failure time distribution with mean life that is a log-linear function of stress and a cumulative exposure model are considered. We derive the maximum likelihood estimators of the model parameters. Confidence intervals for the model parameters are established by using pivotal quantity and can be applied to any sample size. A numerical example is investigated to illustrate the proposed methods.
Relation:	International Journal of Reliability, Quality and Safety Engineering 12(5), pp.385-395
DOI:	10.1142/S0218539305001902
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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