### Abstract

A distribution-free upper bound is derived on the Bayes probability of misclassification in terms of Matusita's measure of affinity among several distributions for the M-hypothesis discrimination problem. It is shown that the bound is as sharp as possible.

Original language | English (US) |
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Pages (from-to) | 161-165 |

Number of pages | 5 |

Journal | Annals of the Institute of Statistical Mathematics |

Volume | 34 |

Issue number | 1 |

DOIs | |

State | Published - Dec 1 1982 |

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### Keywords

- 3.36
- 3.63
- 5.25
- 5.30
- 5.5
- Bhattacharyya coefficient
- Matusita's measure of affinity
- Probability of misclassification
- decision theory
- discrimination rules
- information measures
- pattern classification

### ASJC Scopus subject areas

- Statistics and Probability