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General Exponential Distribution: Bayes Estimation Under Entropy Loss Function

Posted on:2011-05-20Degree:MasterType:Thesis
Country:ChinaCandidate:Cyrille-Clovis Moypemna-SembonFull Text:PDF
GTID:2120360305954846Subject:Probability theory and mathematical statistics
Abstract/Summary:PDF Full Text Request
The two-parameter generalized exponential distribution has been introduced by the authors (Gupta and Kundu). In this paper we consider some method of estimations of the unknown parameters under entropy loss function based on the gamma priors of shape and scale parameters. Some results of these estimates cannot be obtained in explicit forms. Particularly Bayes estimators are computed using the idea of Lindley. Based on Monte Carlo simulation, the bayes estimates ofλandαare compared with their corresponding maximum likelihood estimates in conclusion.
Keywords/Search Tags:Bayes estimator, Maximum likelihood estimator, Gamma distribution, Entropy loss function, Unbiased estimator, Invariant estimator, Prior and Posterior density function
PDF Full Text Request
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