An Upper Bound on the Probability of Misclassification in Terms of the Affinity

Research output: Contribution to journalArticle

Abstract

A distribution-free upper bound is derived for the Bayes probability of misclassification in terms of Matusita's measure of affinity of several distributions for the multihypothesis pattern recognition problem. It is shown that for the two-class problem the bound reduces to the Hudimoto-Kailath bound in terms of the Bhattacharyya coefficient. An additional upper bound is derived which is independent of the a priori probabilities of the pattern classes.

Original languageEnglish (US)
Pages (from-to)275-276
Number of pages2
JournalProceedings of the IEEE
Volume65
Issue number2
DOIs
StatePublished - Jan 1 1977

Fingerprint

Pattern recognition

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

An Upper Bound on the Probability of Misclassification in Terms of the Affinity. / Toussaint, Godfried.

In: Proceedings of the IEEE, Vol. 65, No. 2, 01.01.1977, p. 275-276.

Research output: Contribution to journalArticle

@article{345407960ebb4d1ba1a0cfd6c2dee0d9,
title = "An Upper Bound on the Probability of Misclassification in Terms of the Affinity",
abstract = "A distribution-free upper bound is derived for the Bayes probability of misclassification in terms of Matusita's measure of affinity of several distributions for the multihypothesis pattern recognition problem. It is shown that for the two-class problem the bound reduces to the Hudimoto-Kailath bound in terms of the Bhattacharyya coefficient. An additional upper bound is derived which is independent of the a priori probabilities of the pattern classes.",
author = "Godfried Toussaint",
year = "1977",
month = "1",
day = "1",
doi = "10.1109/PROC.1977.10469",
language = "English (US)",
volume = "65",
pages = "275--276",
journal = "Proceedings of the IEEE",
issn = "0018-9219",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

TY - JOUR

T1 - An Upper Bound on the Probability of Misclassification in Terms of the Affinity

AU - Toussaint, Godfried

PY - 1977/1/1

Y1 - 1977/1/1

N2 - A distribution-free upper bound is derived for the Bayes probability of misclassification in terms of Matusita's measure of affinity of several distributions for the multihypothesis pattern recognition problem. It is shown that for the two-class problem the bound reduces to the Hudimoto-Kailath bound in terms of the Bhattacharyya coefficient. An additional upper bound is derived which is independent of the a priori probabilities of the pattern classes.

AB - A distribution-free upper bound is derived for the Bayes probability of misclassification in terms of Matusita's measure of affinity of several distributions for the multihypothesis pattern recognition problem. It is shown that for the two-class problem the bound reduces to the Hudimoto-Kailath bound in terms of the Bhattacharyya coefficient. An additional upper bound is derived which is independent of the a priori probabilities of the pattern classes.

UR - http://www.scopus.com/inward/record.url?scp=0017453840&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017453840&partnerID=8YFLogxK

U2 - 10.1109/PROC.1977.10469

DO - 10.1109/PROC.1977.10469

M3 - Article

VL - 65

SP - 275

EP - 276

JO - Proceedings of the IEEE

JF - Proceedings of the IEEE

SN - 0018-9219

IS - 2

ER -