• USING SQUARED-LOG ERROR LOSS FUNCTION TO ESTIMATE THE SHAPE PARAMETER AND THE RELIABILITY FUNCTION OF PARETO TYPE I DISTRIBUTION

Abstract

In this paper, we derived Bayes estimators for the shape parameter and the reliability function of the Pareto type I distribution under Squared-Log error loss function. In order to get better understanding of our Bayesian analysis, we consider non-informative prior for the shape parameter Using Jeffery prior Information as well as informative prior density represented by Exponential prior. According to Monte-Carlo simulation study, the performance of these estimators is compared depending on the mean square Errors (MSE’s).