Bayesian Estimation for Two Parameters of Gamma Distribution Under Precautionary Loss Function

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Loaiy F. Naji Huda Abdullah Rasheed

Abstract

In the current study, the researchers have been obtained Bayes estimators for the shape and scale parameters of Gamma distribution under the precautionary loss function, assuming the priors, represented by Gamma and Exponential priors for the shape and scale parameters respectively. Moment, Maximum likelihood estimators and Lindley’s approximation have been used effectively in Bayesian estimation.


Based on Monte Carlo simulation method, those estimators are compared depending on the mean squared errors (MSE’s). The results show that, the performance of Bayes estimator under precautionary loss function with Gamma and Exponential priors is better than other estimates in all cases.

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How to Cite
NAJI, Loaiy F.; RASHEED, Huda Abdullah. Bayesian Estimation for Two Parameters of Gamma Distribution Under Precautionary Loss Function. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 32, n. 1, p. 187-196, jan. 2019. ISSN 2521-3407. Available at: <http://jih.uobaghdad.edu.iq/index.php/j/article/view/1914>. Date accessed: 26 aug. 2019. doi: http://dx.doi.org/10.30526/32.1.1914.
Section
mathematics