Nearest neighbor empirical processes (Q6632607)

scientific article; zbMATH DE number 7938569

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English	Nearest neighbor empirical processes	scientific article; zbMATH DE number 7938569

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scholarly article

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title

Nearest neighbor empirical processes (English)

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5 November 2024

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zbMATH Keywords

concentration inequality

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empirical process theory

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nearest neighbor algorithm

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weak convergence

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Publication

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cites work

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The uniform convergence of nearest neighbor regression function estimators and their application in optimization

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A nearest neighbor estimate of the residual variance

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Uniform consistency of the kernel conditional Kaplan-Meier estimate

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The sizes of compact subsets of Hilbert space and continuity of Gaussian processes

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An empirical process approach to the uniform consistency of kernel-type function estimators

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Discriminatory Analysis. Nonparametric Discrimination: Consistency Properties

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Classification in general finite dimensional spaces with the \(k\)-nearest neighbor rule

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On consistency of kernel density estimators for randomly censored data: Rates holding uniformly over adaptive intervals

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An exponential inequality for the distribution function of the kernel density estimator, with applications to adaptive estimation

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The rate of convergence of&lt;tex&gt;k_n&lt;/tex&gt;-NN regression estimates and classification rules (Corresp.)

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A distribution-free theory of nonparametric regression

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UNIFORM CONVERGENCE RATES FOR KERNEL ESTIMATION WITH DEPENDENT DATA

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Strong uniform consistency rates for estimators of conditional functionals

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Robust nonparametric regression with simultaneous scale curve estimation

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Asymptotics of conditional empirical processes

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Local Properties of <i>k</i>-NN Regression Estimates

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U-processes: Rates of convergence

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Risk bounds when learning infinitely many response functions by ordinary linear regression

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Consistent nonparametric regression. Discussion

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Optimal global rates of convergence for nonparametric regression

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Conditional empirical processes

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New concentration inequalities in product spaces

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Weak convergence and empirical processes. With applications to statistics

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Empirical processes indexed by estimated functions

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On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

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Estimation of a conditional copula and association measures

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Q5510038

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Some special Vapnik-Chervonenkis classes

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6632607