Measuring the efficiency of three methods for estimating the parameters and reliability of a two-parameter weighted exponential distribution

Document Type : Research Paper


Department of Mathematics, College of Education, AL-Mustansiriyah University, Baghdad, Iraq


The purpose of this research is to investigate a weighted exponential distribution with two parameters [shape \& scale], including calculating the cumulative distribution and reliability functions, as well as estimating the two parameters and reliability function using three methods (MLE, MOM, Jackknife), and comparing the results using MSE with simulation. The results show the jackknife estimator of parameters and reliability function is the best.