| 矩阵损失下多维几何分布均值 的线性估计可容许性 |
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| 引用本文： | 郑海.矩阵损失下多维几何分布均值 的线性估计可容许性[J].浙江大学学报(理学版),2000,27(2):171-174. |
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| 作者姓名： | 郑海 |
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| 作者单位： | 温州师范学院数学系!浙江温州325000(郑海),浙江大学数学系!浙江杭州310027(黄柏琴) |
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| 摘 要： | 本文在矩阵损失函数 (d - λ ) (d - λ )′下讨论多维几何分布均值参数 λ的线性估计在齐次线性 估计类中的可容许性 .
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| 关 键 词： | 可容许性 几何分布 |
| 修稿时间： | 1998-10-20 |
Admissibility
of linear estimators of reciprocal of multivariate geometrical mean under matrix loss |
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| ZHENG Hai-yin,HUANG Bo-qin.Admissibility
of linear estimators of reciprocal of multivariate geometrical mean under matrix loss[J].Journal of Zhejiang University(Sciences Edition),2000,27(2):171-174. |
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| Authors: | ZHENG Hai-yin HUANG Bo-qin |
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| Institution: | ZHENG Hai-yin1 , HU ANG Bo-qin2 ( 1. Department of Mathematics, Wenzhou Normal College,Wenzhou 325000,China; 2. Department of Mathematics, Zhejiang University, Hangzhou 310027,China) |
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| Abstract: | Let x1 , x2 ,… , xn be mutual in dependent random variates, xi complies with geometrical distribution. Under the loss function (d - λ ) (d - λ ′ ), some condition for a nonnegative homogeneous linear estimator of reciprocal of multivariate geometrical mean to be admissible in the class of all nonnegative homogeneous linear estimators is given. |
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| Keywords: | admissibility geometric distribution |
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