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Approximate Bayes estimators applied to the Bilal model
Authors:Ayman M Abd-Elrahman  Sherif F Niazi
Institution:1. Department of Mathematics, University of Assiut, 71516 Assiut, Egypt;2. Mathematics Department, Al-Azhar University, Assuit Branch,71524 Assiut, Egypt
Abstract:This paper develops approximate Bayes estimators of the parameter of the Bilal failure model by using the method of Tierney and Kadane Accurate approximations for posterior moments and marginal densities, J. Amer. Statist. Assoc. 81 (1986) 82–86.] based on Type-2 censored sample and four different loss functions. Existence and uniqueness theorem for the maximum likelihood estimate are established. Based on Monte Carlo simulation study, comparisons are made between those estimators and their corresponding Bayes estimators obtained by using Gibb’s sampling approach.
Keywords:Jiffery’s prior  Tierney and Kadanes’ approximation form  Gibb’s sampling approach  Maximum likelihood and EM algorithm  Estimated risks  60E05  62B15  62F10  62N02  62N05
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