Optimal rates of convergence to Bayes risk in nonparametric discrimination

DOI10.1214/aos/1176346328zbMath0554.62053OpenAlexW1513992045MaRDI QIDQ760130

James Stephen Marron

Publication date: 1983

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346328

zbMATH Keywords

discriminationtraining samplemulticlassificationsmooth densitiesoptimal ratesknown prior probabilitiesRates of convergence to Bayes risk

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonparametric estimation (62G05) Nonparametric inference (62G99)

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