Frechet Reliability Estimation of Cascade Model

Abstract

In this paper presents the   reliability mathematical formula of  Frechet Cascade model . The reliability of the model is expressed by Frechet random variables, which are stress and strength distributions. The reliability model was estimated by seven dissimilar methods ( ML , Mo , LS , WLS , Rg  ,Pr and  Pi  ) and simulation was performed using MATLAB  2012  program to compare the results of the reliability model estimates using the MSE criterion , the results indicated that the best estimator among the seven estimators was ML and Pi  .