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المؤلفBaklizi, Ayman
المؤلفAhmed, S. E.
تاريخ الإتاحة2010-01-07T06:17:37Z
تاريخ النشر2008-08-18
اسم المنشورStatistics
الاقتباسBaklizi, A., & Ahmed, S. E. (2008). On the estimation of reliabilty function in a Weibull lifetime distribution. Statistics, 42, 4, 351–362
معرّف المصادر الموحدhttp://dx.doi.org/10.1080/02331880701878374
معرّف المصادر الموحدhttp://hdl.handle.net/10576/10609
الملخصThe 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.
اللغةen
الناشرTaylor & Francis
الموضوعreliabilty
lifetime distribution
shrinkage estimator
preliminary test estimator
local alternatives
asymptotic biases and mean-squared errors
monte carlo simulation
العنوانOn the estimation of reliabilty function in a Weibull lifetime distribution
النوعArticle
dc.accessType Abstract Only


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