Bayesian estimation of the scale parameter and survival function of weighted weibull distribution under different loss functions using r software

Abstract

In this paper, we propose to obtain the Bayesian estimators of the scale parameter of a three parameter weighted weibull distribution, based on non-informative and informative priors using Entropy loss function and Quadratic loss function. The risk functions of these estimators have been studied. A real life example has been used to compare the performance of the estimates under different loss functions.

Keywords: Weighted Weibull distribution, Jeffery’s prior and Gamma prior, loss functions.