Bounds on mahalanobis norms and their applications

被引：1

作者：

Jensen, DR

机构：

[1] Department of Statistics, Virginia Polytech. Inst. Stt. Univ., Blacksburg

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 264卷

关键词：

D O I：

10.1016/S0024-3795(97)00235-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local and global bounds for ratios of norms, and minimal and maximal norms, are constructed for pairs and ensembles of quadratic norms on R-k, with corresponding results for Mahalanobis distance functions. These support envelopes for distributions of certain quadratic forms in Gaussian variates. Applications are noted in the use of quadratic classification rules and in assessing hit probabilities in ballistic systems. (C) 1997 Elsevier Science Inc.

引用

页码：127 / 139

页数：13

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