摘要
该文主要讨论了当参数θ的先验分布为Γ分布时,在复合LINEX对称损失函数下,逆高斯分布形状参数θ的Bayes估计、E-Bayes估计和多层Bayes估计问题,得到了相应的估计公式,并证明了参数θ的Bayes估计是可容许的.
This paper mainly discusses that when the prior distribution of the parameter θ is gamma distribution, under the compound LINEX symmetric loss function, and the Bayes estimation, E-Bayes estimation and Hierarchical bayes estimation of the shape parameter θ are obtained. The corresponding estimation formula is acquired. It is also proved that the bayes estimation of the parameter θ is tolerable.
作者
王亚楠
韦程东
张晓东
岑泰林
唐璐薇
罗文婷
WANG Ya-nan;WEI Cheng-dong;ZHANG Xiao-dong;CEN Tai-lin;TANG Lu-wei;LUO Wen-ting(School of Mathematics and Statistics,Nanning Normal University, Nanning 530299,China)
出处
《广西师范学院学报（自然科学版）》
2019年第2期32-37,共6页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
国家自然科学基金项目(11561010)
广西研究生教育创新计划项目(YCSW2017188)
