Comparison of Relative Risk Functions of the Rayleigh Distribution under Type- II Censored Samples: Bayesian Approach

Abstract

Based on complete as well as type II censored samples, the Bayes’ estimators for the parameter and reliability function of Rayleigh distribution are obtained. These estimators are obtained on the basis of squared error loss function and LINEX loss function. Comparisons in terms of risks of those under squared error loss and LINEX loss functions with Bayes estimators relative to squared error loss function have been made. Finally, Monte Carlo simulations are performed to compare the performances of the Bayes estimates under different situations.

Keywords: Bayes Estimator, LINEX Loss Function, Reliability Function, Risk Function, Squared Error Loss Function.

2000 Mathematics Subject Classification. 62F10; 62F15; 62N05; 62N01