The Bayes Estimation of the Inverse Topp-Leone Distribution under Type-Ⅱ Doubly Censored Sample
In the case of type-Ⅱ doubly censored samples,the maximum likelihood estimation of the inverse Topp-Leone distribution is studied,and the existence and uniqueness of the maximum likelihood estimation are proved.The prior distribution based on the unknown parameters is Gamma distribution and Jeffrey distribution.Under three different loss functions,the Bayes es-timation of the unknown parameters of the inverse Topp-Leone distribution is obtained.The predicted density is obtained from the posterior density function,and then the predicted estimated values of the future observations under the three loss functions are ob-tained.In order to compare the advantages and disadvantages of Bayes estimation under different losses,numerical simulation is used to calculate the mean value and mean square error of various estimators.The results show that the Bayes estimator of unknown parameters under Linex loss is closer to the true value,and the mean squared error is the smallest.
万方数据
维普
