The Berry-Esseen bound of a wavelet estimator in non-randomly designed nonparametric regression model based on ANA errors
DOI10.1051/ps/2019017zbMath1440.62072OpenAlexW2957718807MaRDI QIDQ5110207
Fei Zhang, Yi Wu, Xu-Fei Tang, Xue-jun Wang
Publication date: 18 May 2020
Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/ps/2019017
asymptotically negatively associated random variablesBerry-Esseen boundwavelet estimatornonparametric regression model
Nonparametric regression and quantile regression (62G08) Asymptotic distribution theory in statistics (62E20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)
Cites Work
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- The Berry-Esseen bounds of wavelet estimator for regression model whose errors form a linear process with a \(\rho\)-mixing
- The consistency for the estimator of nonparametric regression model based on martingale difference errors
- Some strong convergence properties for arrays of rowwise ANA random variables
- Asymptotic properties of wavelet estimators in semiparametric regression models under dependent errors
- Berry-Esseen bounds for density estimates under NA assumption
- Berry-Esseen bounds for wavelet estimator in a regression model with linear process errors
- A Berry-Esseen theorem and a law of the iterated logarithm for asymptotically negatively associated sequences
- Berry-Esseen type bounds of estimators in a semiparametric model with linear process errors
- Moments of the maximum of normed partial sums of \(\rho^-\)-mixing random variables
- Consistent nonparametric multiple regression: the fixed design case
- Fixed design regression for time series: Asymptotic normality
- On the spectral density and asymptotic normality of weakly dependent random fields
- Uniformly asymptotic normality of the regression weighted estimator for negatively associated samples.
- Negative association of random variables, with applications
- Convergence rates in the strong laws of asymptotically negatively associated random fields
- A Berry-Esseen theorem for weakly negatively dependent random variables and its applications
- Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
- Asymptotic normality of wavelet estimator for strong mixing errors
- Complete consistency of the estimator of nonparametric regression model under ND sequence
- Complete convergence for weighted sums of END random variables and its application to nonparametric regression models
- A BERRY-ESSEEN TYPE BOUND OF REGRESSION ESTIMATOR BASED ON LINEAR PROCESS ERRORS
- Berry-esseen bounds for smooth estimator of a distribution function under association
- Wavelet Methods for Curve Estimation
- SOME LIMITING BEHAVIOR FOR ASYMPTOTICALLY NEGATIVE ASSOCIATED RANDOM VARIABLES
- Central limit theorems for asymptotically negatively associated random fields
- A functional central limit theorem for asymptotically negatively dependent random fields
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