The Rayleigh distribution parameters under the weighted scale squared error loss Bayes estimation with nature

The forms and properties of the Bayes estimation of the Rayleigh distribution parameters were studied by the Bayes parameter estimation method under the weighted scale squared error loss function.First,the general form of the Bayes estimation of the parameters under an arbitrary prior distribution was obtained.Second,the exact form of the Bayes estimation of the parameters under the inverse Gamma prior distribution was obtained,and the admissiblity of the obtained Bayes estimation was proved.Finally,a simulations with Matlab was maded to evalue the obtained Bayes estimation.