Estimating the parameters of a bathtub-shaped distribution under progressive type-II censoring

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Title:	Estimating the parameters of a bathtub-shaped distribution under progressive type-II censoring
Authors:	Rastogi, M. K.;Tripathi, Y. M.;Wu, Shuo-Jye
Contributors:	淡江大學統計學系
Keywords:	Bayes estimator;hazard function;Lindley approximation method;maximum likelihood method;reliability function
Date:	2012-08
Issue Date:	2013-03-04 12:10:16 (UTC+8)
Publisher:	London: Routledge
Abstract:	We consider the problem of estimating unknown parameters, reliability function and hazard function of a two parameter bathtub-shaped distribution on the basis of progressive type-II censored sample. The maximum likelihood estimators and Bayes estimators are derived for two unknown parameters, reliability function and hazard function. The Bayes estimators are obtained against squared error, LINEX and entropy loss functions. Also, using the Lindley approximation method we have obtained approximate Bayes estimators against these loss functions. Some numerical comparisons are made among various proposed estimators in terms of their mean square error values and some specific recommendations are given. Finally, two data sets are analyzed to illustrate the proposed methods.
Relation:	Journal of Applied Statistics 39(11), pp.2389-2411
DOI:	10.1080/02664763.2012.710899
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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