| 统计深度的几何推广 |
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| 引用本文： | 张华,胡刚,沈世镒.统计深度的几何推广[J].数学的实践与认识,2010,40(6). |
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| 作者姓名： | 张华 胡刚 沈世镒 |
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| 作者单位： | 1. 浙江工商大学计算机与信息工程学院,浙江杭州,310018
2. 南开大学数学科学学院与LPMC,天津,300071 |
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| 摘 要： | 改进统计深度的定义,并将点的深度概念推广到直线与平面的深度,由此得到深度计算的基本定理和深度的一系列性质.最后讨论应用展望.
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| 关 键 词： | 统计深度 几何推广 等深集 等深区域 |
A Geometric Generalization of Statistical Depth |
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| ZHANG Hua,HU Gang,SHEN Shi-yi.A Geometric Generalization of Statistical Depth[J].Mathematics in Practice and Theory,2010,40(6). |
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| Authors: | ZHANG Hua HU Gang SHEN Shi-yi |
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| Affiliation: | ZHANG Hua~1,HU Gang~2,SHEN Shi-yi~2 (1.School of Computer Science , Information Engineering,Zhejiang Gongshang University,Hangzhou 310018,China) (2.College of Mathematical Sciences , LPMC,Nankai University,Tianjin 300071,China) |
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| Abstract: | In this article,the definition of statistical depth is improved based on open halfs-pace and generalized to the depth of an affine subspace for the point set.Basic theorems for computing the depth and a series of properties for depth are obtained. |
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| Keywords: | statistical depth geometric generalization isodepth set isodepth region |
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