摘要
研究了k阶Erlang分布的参数在加权p、q对称熵损失下的Bayes估计问题.在不同先验分布下给出了参数的Bayes估计的精确形式,进一步研究了Gamma先验分布情形下多层Bayes估计和E-Bayes估计,并运用Monte-Carlo模拟方法验证了各个Bayes估计的合理性.
Based on the weighted p,q symmetric loss,the Bayes estimator of k-th order Erlang distribution para-meter is studied.The exact forms of the Bayes estimates of the parameters are given under different prior distributions.Furthermore,hierarchical Bayesian estimation and E-Bayes estimation is gained with Gamma prior distribution,and the rationality of the Bayesian estimation is verified by means of Monte Carlo simulation.
作者
季海波
JI Haibo(School of Mathematics and Physics,Suqian College,Suqian 223800,China)
出处
《淮阴师范学院学报(自然科学版)》
2025年第2期102-106,共5页
Journal of Huaiyin Teachers College(Natural Science Edition)
基金
江苏省宿迁市社科研究项目(23SYC-135)。
