Journal
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Volume 52, Issue 4, Pages 1873-1883Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.csda.2007.06.004
Keywords
Bayes estimator; maximum likelihood estimator; gamma distribution; log-concave density function; squared error loss function; posterior density function
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Recently two-parameter generalized exponential distribution has been introduced by the authors. In this paper we consider the Bayes estimators of the unknown parameters under the assumptions of gamma priors on both the shape and scale parameters. The Bayes estimators cannot be obtained in explicit forms. Approximate Bayes estimators are computed using the idea of Lindley. We also propose Gibbs sampling procedure to generate samples from the posterior distributions and in turn computing the Bayes estimators. The approximate Bayes estimators obtained under the assumptions of non-informative priors, are compared with the maximum likelihood estimators using Monte Carlo simulations. One real data set has been analyzed for illustrative purposes. (C) 2007 Published by Elsevier B.V.
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