Approximate Bayes estimators applied to the Bilal model |
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Authors: | Ayman M Abd-Elrahman Sherif F Niazi |
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Institution: | 1. Department of Mathematics, University of Assiut, 71516 Assiut, Egypt;2. Mathematics Department, Al-Azhar University, Assuit Branch,71524 Assiut, Egypt |
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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. |
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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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