A Comparison of two Bayesian estimators for parameter of Pareto Distribution using two Loss Function

Abstract

ABSTRACT :- In this research was derived Bayesian estimator using Modified squared Error Loss Function Modified Linear Exponential Loss Function . In the experimental part was compared between two Bayesian estimators employ simulation in Monte-Carlo method and using statistical indicators Mean Squared Error (MSE) and Mean Absolute Percentage Error (MAPE) for comparison between the preference of estimators . and for certain values to fundamental constants (r,k) in loss functions demonstrated preference of Bayesian estimator for each function of these functions and according to the simulation experiments .