Strong consistency of nearest neighbor regression function estimators

DOI10.1016/0047-259X(84)90067-8zbMath0542.62031OpenAlexW2059885445MaRDI QIDQ795437

Philip E. Cheng

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0047-259x(84)90067-8

zbMATH Keywords

rate of convergenceuniformly consistentregression function estimators of nearest neighbor typeuniform measure of deviation

Mathematics Subject Classification ID

Nonparametric estimation (62G05) General nonlinear regression (62J02)

Related Items (12)

A note on strong convergence rates in nonparametric regression ⋮ \(k\)-nn method in partial linear model under random censorship ⋮ Asymptotics of conditional empirical processes ⋮ Asymptotic properties of the estimators of the semi-parametric spatial regression model ⋮ A strong law of large numbers for nonparametric regression ⋮ On parameter estimation for semi-linear errors-in-variables models ⋮ Finding our way in the dark: approximate MCMC for approximate Bayesian methods ⋮ Consistency of the \(k\)-nearest neighbor classifier for spatially dependent data ⋮ Asymptotic behavior of encompassing test for independent processes: Case of linear and nearest neighbor regressions ⋮ Flexible non-parametric regression models for compositional data ⋮ A comparison study of nonparametric imputation methods ⋮ CONVERGENCE RATES OF ESTIMATORS IN PARTIAL LINEAR REGRESSION MODELS WITH MA(∞) ERROR PROCESS

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• The strong uniform consistency of nearest neighbor density estimates
• Multivariate k-nearest neighbor density estimates
• The uniform convergence of nearest neighbor regression function estimators and their application in optimization
• On finite population sampling theory under certain linear regression models
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

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