Comparison between Bayesian and Classical Estimators of Birnbaum-Saunders Distribution Parameters with Application

Abstract

Estimating the parameters of any distribution or model is a main process that helps to make good understanding of the variables behavior under study. Birnbaum and Saunders introduced a two-parameter lifetime distribution to model fatigue life. Since then, extensive work submitted on this model providing different interpretations, constructions, generalizations, inferential method. In our study, we estimate the parameters of it by using classical methods moreover, we use Bayesian estimation, comparison wasmade by using Mean Square Errors MSE and Mean od Absolute Percentage Errors MAPE.