DocumentCode :
912530
Title :
On a general relationship between estimation, detection, and the Bhattacharyya coefficient (Corresp.)
Author :
Lainiotis, D.
Volume :
15
Issue :
4
fYear :
1969
fDate :
7/1/1969 12:00:00 AM
Firstpage :
504
Lastpage :
505
Abstract :
A general and fundamental relationship between estimation, 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 
, where 
, for hypotheses 
, respectively. The Bhattacharyya coefficient is then shown to be the expected value of the estimation error standard deviation.
, where , for hypotheses , respectively. The Bhattacharyya coefficient is then shown to be the expected value of the estimation error standard deviation.Keywords :
Bayes procedures; Estimation; Pattern classification; Signal detection; Cost function; Decision making; Estimation error; Estimation theory; Pattern recognition; Probability; Random processes; Signal processing; Statistics;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1969.1054327
Filename :
1054327
Link To Document :
