复合Linex对称损失下Kumaraswamy分布参数的Bayes估计  

The Bayesian Estimation of the Parameter for Kumaraswamy Distribution Under Compound Linex Symmetric Loss Function

作　　者：王茹[1] 周菊玲[1] WANG Ru ZHOU Ju-ling(School of Mathematics Science, Xinjiang Normal University, Urumqi 830017, China)

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830017

出　　处：《数学的实践与认识》2017年第10期250-254,共5页Mathematics in Practice and Theory

摘　　要：当参数的先验分布为伽玛分布时,在复合Linex对称损失函数下得到了Kumaraswamy分布参数θ的唯一的Bayes估计,多层Bayes估计和E-Bayes估计,并通过数值模拟说明了所给参数估计的稳健性和精确性.Under the compound Linex symmtric loss function, when the prior distribution of the shape parameter θ of kumaraswamy ditribution obeys Gamma ditribution, the unique Bayesian estimation, hierarchical Bayesian estimation and E-Bayesian estimation are obtained. And the parameter estimation method is demonstrated to be stable and accurate through analysis of numerical simulation examples.

关 键 词：复合Linex对称损失函数 Kumaraswamy分布 BAYES估计 多层BAYES估计 E—Bayes估计 

分 类 号：O212.8[理学—概率论与数理统计]