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| 复合Linex对称损失下Kumaraswamy分布参数的Bayes估计 | |
| 引用本文： | 王茹,周菊玲. 复合Linex对称损失下Kumaraswamy分布参数的Bayes估计[J]. 数学的实践与认识, 2017, 0(10): 250-254 |
| 作者姓名： | 王茹 周菊玲 |
| 作者单位： | 新疆师范大学数学科学学院,新疆乌鲁木齐,830017 |
| 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. |
| 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 |
The Bayesian Estimation of the Parameter for Kumaraswamy Distribution Under Compound Linex Symmetric Loss Function |
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| WANG Ru,ZHOU Ju-ling. The Bayesian Estimation of the Parameter for Kumaraswamy Distribution Under Compound Linex Symmetric Loss Function[J]. Mathematics in Practice and Theory, 2017, 0(10): 250-254 | |
| Authors: | WANG Ru ZHOU Ju-ling |
| Abstract: | 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. |
| Keywords: | composite linex loss kumaraswamy distribution bayesian estimation multi-layer bayesian estimation e-bayesian estimation |
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