Maximum Likelihood and Moment Estimation for the Exponentiated Pareto Distribution Based on Fuzzy Data

Abstract

Maximum likelihood and moment methods of estimation are used for estimating the shape parameter β reliability and hazard functions of exponentiated pareto distribution based on fuzzy data. Using the Monte-Carlo simulation for comparison the moment and maximum likelihood estimators of shape parameter , reliability and hazard functions according to the MSE values with four different cases, initial values of shape parameter and three sample sizes