Estimating the Reliability of a Component between Two Stresses from Gompertz-Frechet Model

In this paper, the reliability of stress-strength model is derived for probability P( <X< ) a component strength X between two stresses , when and are independent Gompertz Fréchet distribution with unknown known shape parameters common scale parameters. Different methods used to estimate R which [Maximum Likelihood, Least square, Weighted Regression Ranked set sampling methods], comparison these estimations by simulation study based on mean square error criteria. The confirms that performance maximum likelihood estimator works better than other estimators.