On the performance of the linear discriminant function for spherical distributions

DOI10.1016/0047-259X(87)90071-6zbMath0617.62065MaRDI QIDQ1822173

Markos V. Koutras

Publication date: 1987

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

upper and lower boundsrecurrence relationsspherical distributionsprobabilities of correct classificationFisher's linear discriminant rule

Mathematics Subject Classification ID

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

Related Items (5)

Discrimination of observations into one of two elliptic populations based on monotone training samples ⋮ A preliminary test in classification and probabilities of misclassification ⋮ Minimum distance discrimination rules and success rates for elliptical normal mixtures ⋮ Two LDF characterizations of the normal as a spherical distribution ⋮ The Kotz-type distribution with applications

Cites Work

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• On the theory of elliptically contoured distributions
• Robust tests for spherical symmetry
• Pattern discrimination using ellipsoidally symmetric multivariate density functions
• Distance and decision rules
• Quadratic forms in spherical random variables: Generalized noncentral x2 distribution
• Representations of the central and non-central t distributions
• Quadratic discriminant functions in pattern recognition (Corresp.)
• Some multivariate density functions of products of Gaussian variates
• Statistical classification with quadratic forms
• THE USE OF THE HANKEL TRANSFORM IN STATISTICS
• A BIVARIATE GENERALIZATION OF STUDENT'S t-DISTRIBUTION, WITH TABLES FOR CERTAIN SPECIAL CASES

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