Some properties of affinity and applications

DOI10.1007/BF02479219zbMath0276.62063MaRDI QIDQ1393797

Kameo Matusita

Publication date: 1971

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

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Related Items (16)

Equality conditions in an inequality for affinities of finite measures ⋮ Classification using sequential order statistics ⋮ Note on K-point separation measurement ⋮ f-dissimilarity: A generalization of the affinity of several distributions ⋮ Nonparametric estimation of an affinity measure between two absolutely continuous distributions with hypotheses testing applications ⋮ Methods for merging Gaussian mixture components ⋮ Mixedf-divergence and inequalities for log-concave functions ⋮ Criteria for posterior consistency and convergence at a rate ⋮ An axiomatic foundation for a multivariate measure of affinity among a number of distributions ⋮ Measurements of separation among probability densities or random variables ⋮ Separation and probability of correct classification among two or more distributions ⋮ Some properties of Matusita's measure of affinity of several distributions ⋮ A lower bound on bayes risk in classification problems ⋮ Some limiting properties of Matusita's measure of distance ⋮ An upper bound on the probability of misclassification in terms of Matusita's measure of affinity ⋮ Estimation of Matusita measure between generalized inverted exponential distributions under progressive first-failure censored data

Cites Work

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• Separation and probability of correct classification among two or more distributions
• On the notion of affinity of several distributions and some of its applications
• Some limiting properties of Matusita's measure of distance

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