Some Robust Bayesian Estimators in the Burr XII Distribution under Reflected Gamma Loss Function

Accepted - January 2025

Abstract

In this paper, based on reflected gamma loss function and three classes of prior distributions, we derive two robust Bayesian estimators referred to as conditional gamma-minimax and posterior regret gamma-minimax estimators for shape parameter of Burr XII distribution. The assess the effective of these estimators, a simulation study is conducted. Additionally, the study examines the impact of considering on inferences by considering various levels of censoring. Furthermore, a real data example is provided to illustrate the obtained results.