Almost surely consistent nonparametric regression from recursive partitioning schemes

DOI10.1016/0047-259X(84)90022-8zbMath0542.62032MaRDI QIDQ795439

Louis Gordon, Richard A. Olshen

Publication date: 1984

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

zbMATH Keywords

almost sure convergenceregression functionmartingale argumentsrecursive partitioning schemeswithin box means estimators

Mathematics Subject Classification ID

Nonparametric estimation (62G05) General nonlinear regression (62J02) Pattern recognition, speech recognition (68T10)

Related Items (6)

Stochastic grid bundling method for backward stochastic differential equations ⋮ Uniform consistency of a class of regression function estimators for Banach-space valued random variables ⋮ Posterior concentration for Bayesian regression trees and forests ⋮ Tree-structured regression and the differentiation of integrals ⋮ Consistency of data-driven histogram methods for density estimation and classification ⋮ Histogram regression estimation using data-dependent partitions

Cites Work

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• Asymptotically efficient solutions to the classification problem
• Consistent nonparametric regression from recursive partitioning schemes
• On the almost everywhere convergence of nonparametric regression function estimates
• Nonparametric maximum likelihood estimation by the method of sieves
• To reverse a Markov process
• Merging of Opinions with Increasing Information
• Zur Differentiation der Lebesgueschen Integrale
• On the Limit Behaviour of Extreme Order Statistics

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