E-Bayes Estimation of Laplace Distribution Parameter under Q-Symmetric Entropy Loss Function

Huan Bin Liu; Tong Yin; Cheng Wang

doi:10.4028/www.scientific.net/AMM.596.301

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 596E-Bayes Estimation of Laplace Distribution...

E-Bayes Estimation of Laplace Distribution Parameter under Q-Symmetric Entropy Loss Function

Abstract:

This paper provides the E-Bayes estimation and hierarchical Bayes estimation of Laplace distribution parameter under q-symmetric entropy loss function when the prior distribution is Beta distribution. The relation between E-Bayes estimation and hierarchical Bayes estimation is discussed. Numerical simulation results show that these two types of estimation are progressively equal, and E-Bayes estimation is more convenient in terms of calculation.