### 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) |
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Pages (from-to) | 275-276 |

Number of pages | 2 |

Journal | Proceedings of the IEEE |

Volume | 65 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1977 |

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### 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.

Research output: Contribution to journal › Article

*Proceedings of the IEEE*, vol. 65, no. 2, pp. 275-276. https://doi.org/10.1109/PROC.1977.10469

}

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 -