Inference on constant stress accelerated life tests for log-location-scale lifetime distributions with Type-I hybrid censoring

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Title:	Inference on constant stress accelerated life tests for log-location-scale lifetime distributions with Type-I hybrid censoring
Authors:	Chien-Tai Lin;Yao-Yu Hsu;Siao-Yu Lee;N. Balakrishnan
Keywords:	Approximate maximum likelihood estimation;bootstrap;expected Fisher information matrix;log-linear scale stress relationship;maximum likelihood estimation
Date:	2019-01-28
Issue Date:	2019-03-30 12:10:44 (UTC+8)
Abstract:	In this paper, we consider a constant stress accelerated life test terminated by a hybrid Type-I censoring at the first stress level. The model is based on a general log-location-scale lifetime distribution with mean life being a linear function of stress and with constant scale. We obtain the maximum likelihood estimators (MLE) and the approximate maximum likelihood estimators (AMLE) of the model parameters. Approximate confidence intervals, likelihood ratio tests and two bootstrap methods are used to construct confidence intervals for the unknown parameters of the Weibull and lognormal distributions using the MLEs. Finally, a simulation study and two illustrative examples are provided to demonstrate the performance of the developed inferential methods.
Relation:	Journal of Statistical Computation and Simulation 89(4), p.720-749
DOI:	10.1080/00949655.2019.1571591
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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