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Author Baklizi, Aymanen_US
Author Ahmed, S. E.en_US
Available date 2010-01-07T06:17:37Zen_US
Publication Date 2008-08-18en_US
Publication Name Statistics
Citation Baklizi, A., & Ahmed, S. E. (2008). On the estimation of reliabilty function in a Weibull lifetime distribution. Statistics, 42, 4, 351–362en_US
Abstract The estimation of the reliability function of the Weibull lifetime model is considered in the presence of uncertain prior information (not in the form of prior distribution) on the parameter of interest. This information is assumed to be available in some sort of a realistic conjecture. In this article, we focus on how to combine sample and non-sample information together in order to achieve improved estimation performance. Three classes of point estimatiors, namely, the unrestricted estimator, the shrinkage estimator and shrinkage preliminary test estimator (SPTE) are proposed. Their asymptotic biases and mean-squared errors are derived and compared. The relative dominance picture of the estimators is presented. Interestingly, the proposed SPTE dominates the unrestricted estimator in a range that is wider than that of the usual preliminary test estimator. A small-scale simulation experiment is used to examine the small sample properties of the proposed estimators. Our simulation investigations have provided strong evidence that corroborates with asymptotic theory. The suggested estimation methods are applied to a published data set to illustrate the performance of the estimators in a real-life situation.en_US
Language enen_US
Publisher Taylor & Francisen_US
Subject reliabiltyen_US
Subject lifetime distributionen_US
Subject shrinkage estimatoren_US
Subject preliminary test estimatoren_US
Subject local alternativesen_US
Subject asymptotic biases and mean-squared errorsen_US
Subject monte carlo simulationen_US
Title On the estimation of reliabilty function in a Weibull lifetime distributionen_US
Type Articleen_US

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