Uniform convergence of estimator for nonparametric regression with dependent data

DOI10.1186/s13660-016-1087-zzbMath1337.62061OpenAlexW2397594447WikidataQ59467248 ScholiaQ59467248MaRDI QIDQ289968

Shuhe Hu, Xiaoqin Li, Wenzhi Yang

Publication date: 1 June 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1087-z

zbMATH Keywords

nonparametric regressionuniform convergence ratearithmetically \(\alpha\)-mixinginternal estimator

Mathematics Subject Classification ID

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

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Cites Work

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• Strong consistency of the internal estimator of nonparametric regression with dependent data
• Estimation in threshold autoregressive models with a stationary and a unit root regime
• On internally corrected and symmetrized kernel estimators for nonparametric regression
• Fixed design regression for time series: Asymptotic normality
• Consistent nonparametric regression. Discussion
• Nonparametric statistics for stochastic processes. Estimation and prediction.
• Strong convergence of sums of \(\alpha \)-mixing random variables with applications to density estimation
• A distribution-free theory of nonparametric regression
• Nonlinear time series. Nonparametric and parametric methods
• Stability analysis and state feedback stabilization of pendulum-like systems with multiple nonlinearities
• Local linear regression smoothers and their minimax efficiencies
• Estimation in semiparametric spatial regression
• Conditional Density Estimation in the Single Functional Index Model for α-Mixing Functional Data
• Consistency of modified kernel regression estimation for functional data
• Remarks on Some Nonparametric Estimates of a Density Function
• UNIFORM CONVERGENCE RATES FOR KERNEL ESTIMATION WITH DEPENDENT DATA
• Recursive probability density estimation for weakly dependent stationary processes
• Properties of uniform consistency of the kernel estimators of density and regression functions under dependence assumptions
• Design-adaptive Nonparametric Regression
• Versions of Kernel-Type Regression Estimators
• MULTIVARIATE LOCAL POLYNOMIAL REGRESSION FOR TIME SERIES:UNIFORM STRONG CONSISTENCY AND RATES
• A kernel method of estimating structured nonparametric regression based on marginal integration
• Random products and product auto-regression
• Inference and Prediction in Large Dimensions
• Fixed-design regression for linear time series