| 一种加权对称损失函数下Rayleigh分布尺度参数倒数的Bayes估计 |
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| 引用本文： | 任亮,褚衍彪. 一种加权对称损失函数下Rayleigh分布尺度参数倒数的Bayes估计[J]. 枣庄师专学报, 2012, 0(2): 20-23 |
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| 作者姓名： | 任亮 褚衍彪 |
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| 作者单位： | [1]中国矿业大学理学院,江苏徐州221116 [2]枣庄学院数学与统计学院,山东枣庄277160 |
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| 摘 要： | 首先给出了在加权对称损失函数下Rayleigh分布尺度参数的Bayes估计的一般形式.然后在给出先验分布的条件下,给出了Bayes估计的精确形式.最后证明了此Bayes估计的可容许性.
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| 关 键 词： | 加权对称损失函数 Rayleigh分布 Bayes估计 可容许性 |
The Bayes Estimation of Scale Paremeter Reciprocal Form Rayleigh Distribution Under a Weighted Symmetric Loss Function |
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| REN Liang,CHU Yan-biao. The Bayes Estimation of Scale Paremeter Reciprocal Form Rayleigh Distribution Under a Weighted Symmetric Loss Function[J]. Journal of Zaozhuang Teachers' College, 2012, 0(2): 20-23 |
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| Authors: | REN Liang CHU Yan-biao |
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| Affiliation: | REN Liang , CHU Yan- biao ( 1. College of Science, China University of Mining And Technology, Xuzhou 221116, China ; 2. Department of Mathematics ＆ Statistics Zaozhuang College, Shandong 277160 ,China) |
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| Abstract: | First, the general form of Bayes estimation of scale paremeter reciprocal form Rayleigh distribution under a weighted symmetric loss function is considered. Then , the exact form of estimation is given under the conditions of giving prior distribu- tion. Last, it is proved that the Bayes estimation is admissible. |
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| Keywords: | weighted symmetric loss function Rayleigh distribution Bayes estimation addmissible |
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