Bayes Estimation of Lindley Distribution Parameters under Different Loss Functions
Under the entropy loss function and Q-symmetric entropy loss function,the information-less prior distribution and gamma distribution are selected for the prior distribution of the parameters,eand the Bayes estimation problem of Lindley distribution parameters is studied,and the Bayes estima-tion effect of the parameters under different conditions is compared by random simulation.The results show that we conclude that under the same loss function,the estimation effect is better when the prior distribution of the parameters is the gamma distribution.When the sample size is small,under the en-tropy loss function,and the prior distribution is gamma distribution,Bayes'estimated mean squared er-ror is small;When the sample size is large,the estimation effect is more ideal under the condition of Q-symmetric entropy loss function and gamma distribution of prior distribution.Finally,examples show that the estimated effect matches the numerical simulation.
Lindley distributionentropy loss functionQ-symmetric entropy loss functionBayes estimates
万方数据
维普
