On data depth and distribution-free discriminant analysis using separating surfaces

DOI10.3150/bj/1110228239zbMath1059.62064OpenAlexW1996508539MaRDI QIDQ1767479

Probal Chaudhuri, Anil Kumar Ghosh

Publication date: 11 March 2005

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3150/bj/1110228239

zbMATH Keywords

robustnessVapnik-Chervonenkis dimensionBayes risklinear discriminant analysiselliptic symmetrymisclassification ratesquadratic discriminant analysishalf-space depthregression depthlocation-shift modelsgeneralized \(U\)-statisticoptimal Bayes classifier

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonparametric inference (62G99)

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Uses Software

• ElemStatLearn
• AS 307

Cites Work

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