| 基于对称损失函数下Poisson分布变异系数的估计 |
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| 引用本文： | 徐宝.基于对称损失函数下Poisson分布变异系数的估计[J].河北大学学报(自然科学版),2011,31(1):16-19. |
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| 作者姓名： | 徐宝 |
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| 作者单位： | 吉林师范大学,数学学院,吉林,四平,136000 |
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| 基金项目： | 吉林省教育厅"十一五"科学技术研究项目，四平市科技发展计划项目 |
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| 摘 要： | 对应用统计中常用的参数Karl-Pearson变异系数,在给定的一组Poisson样本下,用对称损失函数研究了它的Bayes估计的形式与性质,并由此讨论了它的一类估计的可容许性和不可容许性,模拟结果表明:所得到的Karl-Pearson变异系数的Bayes估计具有较高的精度,可以在统计判决问题中使用.
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| 关 键 词： | Karl-Pearson变异系数 对称损失函数 Bayes估计 可容许估计 |
Estimator for Coefficient of Variance About Poisson Distribution Based on a Symmetric Loss Function |
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| XU Bao.Estimator for Coefficient of Variance About Poisson Distribution Based on a Symmetric Loss Function[J].Journal of Hebei University (Natural Science Edition),2011,31(1):16-19. |
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| Authors: | XU Bao |
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| Institution: | XU Bao(Faculty of Mathematics,Jilin Normal University,Siping 136000,China) |
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| Abstract: | For a common statistics in application statistics named Karl-Pearson coefficient of variance,we dealt with the form and property of its Bayes estimator based on a symmetric loss given a set of poisson sample,we also discussed the admissibility and inadmissibility of a class of linear estimators.The simulation results showed that the Bayes estimator of Karl-Pearson coefficient of variance in this paper performed well about the precision,it could be used in statistical decision problem. |
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| Keywords: | Karl-Pearson coefficient of variance symmetric loss function Bayes estimator admissible estimator |
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