Abstract
The continuous probability Rayleigh distribution is one of the important Is an important distribution that can be used To analyze signal data and statistical error data as well as time to failure, so we work on modifying two parameters Rayleigh ( ) into three parameters one’s ( ) through exponentiated, the new obtained, also the formula for rth moments about origin is derived, to be used in estimating of parameters and also of reliability function. All derivation required were explained and the estimators by maximum likelihood and moments were obtained using different sets of initial values and the replicate of each experiment is ( ), the results are compared by using mean squared error (MSE).
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