Bayesian estimation for the Kumaraswamy-inverse Rayleigh distribution based on progressive first failure censored samples

摘要

This paper considers Bayesian estimation of parameter and reliability function of Kumaraswamy-inverse Rayleigh distribution under the different loss functions with progressively first failure censored samples. We used squared error , minimum expected, weighted and Linex loss functions for obtaining the Bayes estimators of parameter and reliability function. Finally, Comparisons are made between Bayes estimators under different loss functions using simulation study. Keywords: Kumaraswamy-inverse Rayleigh distribution, Progressive first failure censoring, Bayesian estimation, reliability function.