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Comparison of linex and quadratic bayes estimators foe the rayleigh distribution
Authors:Ahmed A Soliman
Affiliation:Department of Mathematics , University of South Valley , Sohag, 82524, Egypt
Abstract:In this paper, the Bayes estimators for the parameter, the reliability function, and failure rate function of the Rayleigh distribution are obtained when based on complete or type II censored samples. Some types of the linex loss function are used. Comparieons in terms of risks of those under linex loss and squared error loss function with Bayes estimators relative to squared error loss function are made, Numerical example and simulation example are included.
Keywords:Linex loss function  quadratic loss function  Bayes estimator  Risk function  Risk efficiency  Rayleigh distribution
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