Comparing Three Different Estimators of Fuzzy Reliability of Modified Weibull

Abstract

This paper deals with obtaining two parameters (p,θ), modified weibull, using entropy transformation, and also the cumulative distribution function, and also reliability function are obtained, and the rth moment formula about origin is derived. The two parameters (p,θ) estimated by Maximum Likelihood (MLE) and Moments Estimator and Proposed method and, then fuzzy reliability is compared by simulation methods.Taking four size of sample (n= 20, 40, 60, and 80), and different sets of initial values of parameters (p,θ) as well as fuzzy parameter(ki), and all the results are explained in tables.