ON A GENERAL RELATIONSHIP BETWEEN ESTIMATION, DETECTION, AND BHATTACHARYYA COEFFICIENT

被引：14

作者：

LAINIOTIS, DG

机构：

[1] Dept. of Elec. Engrg. and Electronics Research Center, University of Texas, Austin, Tex

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1969年 / 15卷 / 04期

关键词：

D O I：

10.1109/TIT.1969.1054327

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A general and fundamental relationship between esti-mation, detection/pattern recognition, and the Bhattacharyya coefficient is established. Specifically, it is shown that a functional of the likelihood ratio necessary for Bayes optimal detection/pattern recognition is the Bayes-optimal mean-square estimate of the indicator variable {3, where {3 = 1, 0, for hypotheses H 1, H 0, respectively, The Bhattacharyya coefficient is then shown to be the expected value of the estimation error standard deviation. © 1969 IEEE

引用

页码：504 / +

页数：1

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