Bayesian estimation of reliability for Rayleigh distribution under the entropy loss function

Rayleigh distribution is one of the statistical distributions in real data modeling and is mostly used in reliability. In this paper, we derive Bayesian estimation and the reliability of Rayleigh distribution under the entropy loss function, and the risk of Bayesian estimator of its under the entropy loss function. Finally, we describe our results with a Monte Carlo numerical simulation.

Keywords:

Bayes estimator , Entropy loss function , Rayleigh distribution , Reliability function , Risk function