Use simulation to find the best estimator for the reliability parameter exponential distribution

Abstract

One of the most useful and widely used distribution. Is the exponential distribution which is used in life experiments and life testing. The aim of this research is to estimate and compare between methods of estimating the parameter and reliability function of exponential distribution. The comparsion between Bayes method and maximum likelihood and proposed estimator is done using simulation with different sample sizes. The comparsion is executed through mean square error, on the results obtained are explained in tables.