Consistent nonparametric regression from recursive partitioning schemes

DOI10.1016/0047-259X(80)90074-3zbMath0453.62035MaRDI QIDQ1149211

Richard A. Olshen, Louis Gordon

Publication date: 1980

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

zbMATH Keywords

boxesrecursive partitioning schemesasymptotically Bayes risk efficient classificationconsistent nonparametric regressionconvergence in pth meanlocal sample meanstruncateduntruncated

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Nonparametric estimation (62G05)

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Cites Work

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• Distribution-free consistency results in nonparametric discrimination and regression function estimation
• Consistent window estimation in nonparametric regression
• Asymptotically efficient solutions to the classification problem
• Consistent nonparametric regression. Discussion
• On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
• A Recursive Partitioning Decision Rule for Nonparametric Classification

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