Comparing Different Algorithms to Estimate two Parameters of Weighted Rayleigh Distribution

This paper deals with transforming a one parameter Rayleigh distribution, to another familycalled weighted two parameters Rayleigh, where the weighted functions are necessarywhen sampling done through samples of different size, also we work of estimating its twoparameters using methods of maximum likelihood and moment estimators, and percentileestimators, the comparison has been done through simulation, we need to generate thevalues using a program of incomplete Gamma function.