Comparing Two Estimators of Reliability Function for Three Extended Rayleigh Distribution

摘要

In this paper we work on transforming one scale parameter Rayleigh distribution into three parameters one’s by introducing two shapes parameters since this distribution is important due to its many applications, in the analysis of signal and statistical error. Also it is a good model for representing remission time for (failure model) from certain disease that beat some people or anything else. The resulted distribution have three parameters, is scale parameter, are shaped parameters obtained from exposing one parameter Rayleigh into different exponents through this expansion done through introducing another parameters, this allow greater flexibility on the tail of distribution and permits wide application in the fields of engineering and biological studied.