Bayes Approach to estimation the Fuzzy reliability for Frechet Distribution By using simulation

Bayes Approach to estimation the Fuzzy reliability for Frechet Distribution By using simulation

Bayes Approach to estimation the Fuzzy reliability for Frechet Distribution By using simulation

Dr.Mehdi Wahab Nasrallah, Bashar Khaled Ali

THE IRAQI MAGAZINJE FOR MANAGERIAL SCIENCES
2018, Volume 14, Issue 58, Pages 52-72

Abstract

In this research we will estimate the distribution parameters by using the method of Bayes when the data of life times are fuzzy numbers. And then use the estimates obtained in the estimation of the fuzzy reliability function of the distribution and then choose the best estimate of this function by comparing in mean square error (MSE) and Mean Absolut Proportional Error (MAPE). The researcher concluded by means of the simulation results that the estimation of the fuzzy is better than the real for all sample sizes when we estimate of the Frechet distribution parameters by using Bayes method. The mean error squares (MSE) and the Mean Absolut Proportional Error (MAPE) are contrasted to the lowest of the sample size n = 500.