Proposed Methods for Estimating Parameters of the Generalized Raylieh Distribution in the Presence of One Outlier

In this paper, the probability distribution (Generalized Rayleigh) with two parameters , in case of outlier, is developed, where the probability density function () is defined, and its moment generating function is derived, to help us in finding the moments, also its cumulative distribution function is found to be used, in obtaining the least squares estimator of the parameters and . The parameters are estimated also by method of moments and method of least square, and also mixture of the estimators are derived, and explained, the estimators of maximum likelihood for are also obtained.