Reliability estimations of Burr-XII distribution under entropy loss function

Under the entropy loss function, the minimum risk equivariant estimation and E-Bayes estimation are obtained using conjugate prior. We also prove minimum risk equivariant estimation is also the minimax estimation. The MSE of the estimations are further compared based on Monte Carlo simulation. According to these comparisons, it is suggested that the accuracy of E-Bayes estimation is the highest.