Complete consistency of the estimator of nonparametric regression model under ND sequence

DOI10.1007/s00362-014-0598-2zbMath1317.62029OpenAlexW2126249246MaRDI QIDQ2516613

Zeyu Si, Xue-jun Wang

Publication date: 3 August 2015

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-014-0598-2

zbMATH Keywords

complete consistencynegatively dependent random variablesnearest neighbor estimator

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05)

Related Items (21)

Weak convergence for weighted sums of negatively associated random variables and its application in nonparametric regression models ⋮ Unnamed Item ⋮ Complete moment convergence for m-END random variables with application to non-parametric regression models ⋮ Complete convergence for weighted sums of WNOD random variables and its applications ⋮ Strong convergence properties for weighted sums of WNOD random variables and its applications in nonparametric regression models ⋮ Complete consistency for the estimator of nonparametric regression model based on \(m\)-END errors ⋮ Weak and strong laws of large numbers for arrays of rowwise END random variables and their applications ⋮ On consistency of the weighted estimator in nonparametric regression model with asymptotically almost negatively associated random variables ⋮ On complete and complete moment convergence for weighted sums of ANA random variables and applications ⋮ The Berry-Esseen bound of a wavelet estimator in non-randomly designed nonparametric regression model based on ANA errors ⋮ Laws of large numbers and complete convergence for WOD random variables and their applications ⋮ An exponential inequality and its application to \(M\) estimators in multiple linear models ⋮ Some convergence properties for partial sums of widely orthant dependent random variables and their statistical applications ⋮ COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF ROWWISE NEGATIVELY ASSOCIATED RANDOM VARIABLES AND ITS APPLICATION IN NON-PARAMETRIC REGRESSION MODEL ⋮ Consistency for wavelet estimator in nonparametric regression model with extended negatively dependent samples ⋮ Complete consistency of estimators for regression models based on extended negatively dependent errors ⋮ Complete \(f\)-moment convergence for widely orthant dependent random variables and its application in nonparametric models ⋮ Complete and complete moment convergence for randomly weighted sums ofρ*-mixing random variables and its applications ⋮ On complete consistency for the estimator of nonparametric regression model based on asymptotically almost negatively associated errors ⋮ The Berry-Esseen type bounds of the weighted estimator in a nonparametric model with linear process errors ⋮ Asymptotic normality and mean consistency for the weighted estimator in nonparametric regression models

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