E-Bayesian and Hierarchical Bayesian Estimation of Inverse Rayleigh Distribution

Abstract

This article proposes E-Bayesian and Hierarchical Bayesian estimation method to estimate the scale parameter and reversed hazard rate of inverse Rayleigh distribution. These estimators are derived under squared error, entropy and precautionary loss functions. The definition and properties of proposed estimators are given. The proposed estimators are suitable for all sample sizes and perform better than the existing classical estimator, such as MLE, with high efficiency. Simulated and real data sets are also discussed for studying the performance of the estimators, which shows that the proposed estimators are efficient and easy to use.

KeyWords and Phrases:

• Bayesian estimation
• E-Bayesian estimation
• hierarchical Bayesian estimation
• inverse Rayleigh distribution

Acknowledgment

The authors would like to thank the associate editor, the editor and the referees for their constructive comments and suggestions that improved the content and the style of this article.