Bayes Estimations of Burr Distribution under the Weighted p,q Symmetric Loss Function
The forms and properties of Bayes estimates of the Burr distribution parameters are investigated using the Bayes parameter estimation method under the weighted p,q symmetric loss function.The general form of the Bayes estimation of the parameters and the exact form under the uninformative prior distribution are obtained,and the obtained estimates are proved to be admissible and have the property of minimum maximum,and the multilayer Bayes estimation of the parameters is further obtained.Numerial Simulation with R software combined with MCMC algorithm on the obtained estimates shows that the Bayes estimate under the conjugate prior distribution is more accurate than the Bayes estimate under the uninformative prior distribution.
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