Transmuted of Rayleigh Distribution with Estimation and Application on Noise Signal

This paper deals with transforming one parameter Rayleigh distribution, into transmuted probability distribution through introducing a new parameter (sic), since this studied distribution is necessary in representing signal data distribution and failure data model the value of this transmuted parameter vertical bar lambda vertical bar <= 1, is also estimated as well as the original parameter (theta) by methods of moments and maximum likelihood using different sample size (n=25, 50, 75, 100) and comparing the results of estimation by statistical measure (mean square error, MSE).