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

Maximum likelihood and moment methods of estimation are used for estimating the shape parameter 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.