摘要
对Poisson-Lomax分布参数α的Bayes估计进行研究,给出了当参数α取广义的均匀分布作为先验分布时,在几种不同损失函数下参数的Bayes估计表达式,并通过数值模拟,对不同情形下Bayes估计的效果进行比较,结果表明:在小样本下参数α的Bayes估计优于极大似然估计.
Bayesian estimation of the parameter α of Poisson-Lomax distribution is discussed. The accurate Bayesian estimator expression of the parameter α is given under different loss function when taking generalized uniform distribution as prior distribution,numerical comparison is carried out about the estimation under Bayesian estimation respectively. The results show that Bayesian estimation of the parameter α is superior to the maximum likelihood estimation under small samples.
作者
刘华
LIU Hua(Department of Mathematics and Physics,Jingchu University of Technology,Jingmen,Hubei 448000,China)
出处
《宜宾学院学报》
2019年第12期88-91,116,共5页
Journal of Yibin University
基金
校级科研项目（YB201903）
校级教研项目（JX2018-12）
