Exact misclassification probabilities for plug-in normal quadratic discriminant functions. I: The equal-means case

DOI10.1006/jmva.2000.1924zbMath1098.62530OpenAlexW2008728622WikidataQ56504896 ScholiaQ56504896MaRDI QIDQ5935554

H. Richard III McFarland, Donald St. P. Richards

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1006/jmva.2000.1924

zbMATH Keywords

discriminant analysisstochastic orderingBessel function of matrix argumentbiplotdizygotic twinsfootball helmet designmisclassification probabilitymonozygotic twinsmultivariate gamma functionmultivariate normalityneck injuriesstochastic representationWishart distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Exact distribution theory in statistics (62E15)

Related Items (4)

Classification into two normal populations with a common mean and unequal variances ⋮ An asymptotic expansion for the distribution of the linear discriminant function based on monotone missing data ⋮ Exact misclassification probabilities for plug-in normal quadratic discriminant functions. II: The heterogeneous case ⋮ Matrix calculus and related hypergeometric functions

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• Asymptotic Expansions and Estimation of the Expected Error Rate for Equal‐Mean Discrimination with Uniform Covariance Structure
• Discrimination in the case of zero mean differences
• The biplot graphic display of matrices with application to principal component analysis

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