An upper bound on the probability of misclassification in terms of Matusita's measure of affinity

DOI10.1007/BF02481018zbMath0521.62057OpenAlexW2052117342MaRDI QIDQ1055121

Godfried T. Toussaint, Binay K. Bhattacharya

Publication date: 1982

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02481018

zbMATH Keywords

pattern classificationinformation measuresBhattacharyya coefficientBayes probability of misclassificationdistribution-free upper boundM-hypothesis discrimination problemMatusita measure of affinity

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Bayesian problems; characterization of Bayes procedures (62C10)

Related Items (1)

Some properties of the Hellinger transform and its application in classification problems

Cites Work

• Some properties of Matusita's measure of affinity of several distributions
• A lower bound on bayes risk in classification problems
• Some properties of affinity and applications
• An axiomatic foundation for a multivariate measure of affinity among a number of distributions
• On the notion of affinity of several distributions and some of its applications
• Probability of Error, Expected Divergence, and the Affinity of Several Distributions

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