In order to study the parameter estimation problem of linear exponential distribution under Type-Ⅰ doubly censoring,the maximum likelihood method and Bayesian method are used respectively to estimate the unknown parameter,and it is proved that the maximum likelihood estimation is the only one.MatlabR2022b is used for random simulation.The results show that the Bayesian method is better than the maximum likelihood method under the mean square error criterion.In the Bayesian estimation,the Gamma prior distribution is selected and the Bayes estimation effect of unknown parameter is optimal under the square loss function.
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