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

Godfried T. Toussaint

doi:10.1109/PROC.1977.10469

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

Godfried T. Toussaint

Computer Science

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	275-276
Number of pages	2
Journal	Proceedings of the IEEE
Volume	65
Issue number	2
DOIs	https://doi.org/10.1109/PROC.1977.10469
State	Published - Feb 1977

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/PROC.1977.10469

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

Abstract

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