Presented by Jessie Byrnes (graduate student, USD)
For this presentation, the progressive first failure-censoring scheme is used to obtain samples from two Burr Type XII distributions respectively, so that the stress-strength parameter can be inferred. This reliability parameter is evaluated under Bayesian estimation because it lacks a closed form solution under maximum likelihood estimation. Because of computation complexities and no closed forms of estimators, Markov Chain Monte Carlo procedure is proposed for a simulation study. From the simulation results, the Bayesian estimator under a given loss function will be discussed.