Ordinary and Bayesian Shrinkage Estimation

In this paper a variety of shrinkage methods for estimating unknown population parameters has been considered. Aprior distribution for the parameters around their natural origins has been postulated and the ordinary Bayes estimators are used in place of natural origins in the ordinary shrinkage esti...

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Bibliographic Details
Main Author: Mohammad Qabaha
Format: Article
Language:English
Published: An-Najah National University 2007-05-01
Series:مجلة جامعة النجاح للأبحاث العلوم الطبيعية
Online Access:https://journals.najah.edu/media/journals/full_texts/ordinary-and-bayesian-shrinkage-estimation.pdf
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Summary:In this paper a variety of shrinkage methods for estimating unknown population parameters has been considered. Aprior distribution for the parameters around their natural origins has been postulated and the ordinary Bayes estimators are used in place of natural origins in the ordinary shrinkage estimators to obtain Bayesian shrinkage estimators. The results are applied to the problem of estimating the location and scale parameters and the reliability function of the two-parameter exponential distribution. Simulation experiments are used to study the performances of these estimators.
ISSN:1727-2114
2311-8865