A comparison of different methods for Estimation of Reliability function for Pareto Distribution of first kind by using simulatio

Abstract

This paper is concerned with estimation of Reliability function of Pareto distribution with two parameters. A suggested methods for estimating the two parameters of distribution and its Reliability function and then a program will be presented here, also an empirical study depends on simulated observations with different parameter's values and sample's sizes for Pareto distribution of first kind was conducted, to compare between different methods depends on their mean square error and to show practically the effectiveness of that methods in estimation of Reliability function. It is shown that the first suggested method is the best method in the case of all sample's sizes and parameter's values used.