scholarly journals Nonparametric regression estimation based on spatially inhomogeneous data: minimax global convergence rates and adaptivity

2013 ◽  
Vol 18 ◽  
pp. 1-41 ◽  
Author(s):  
Anestis Antoniadis ◽  
Marianna Pensky ◽  
Theofanis Sapatinas
Keyword(s):  
Global Convergence ◽  
Nonparametric Regression ◽  
Convergence Rates ◽  
Regression Estimation ◽  
Nonparametric Regression Estimation ◽  
Spatially Inhomogeneous

Wavelet regression estimation over Lp risk based on negatively associated sample

2020 ◽  
Vol 18 (04) ◽  
pp. 2050024
Author(s):  
Huijun Guo ◽  
Junke Kou
Keyword(s):  
Convergence Rates ◽  
Regression Function ◽  
Regression Estimation ◽  
Negatively Associated ◽  
Wavelet Regression ◽  
Nonparametric Regression Estimation ◽  
Independent Case ◽  
Optimal Convergence Rates ◽  
Negatively Associated Sample ◽  
Wavelet Estimators

This paper considers wavelet estimations of a regression function based on negatively associated sample. We provide upper bound estimations over [Formula: see text] risk of linear and nonlinear wavelet estimators in Besov space, respectively. When the random sample reduces to the independent case, our convergence rates coincide with the optimal convergence rates of classical nonparametric regression estimation.

scholarly journals Two stage sequential procedure for nonparametric regression estimation

2008 ◽  
Vol 49 ◽  
pp. 699
Author(s):  
L. Sandamali Dharmasena ◽  
Basil M De Silva ◽  
Panlop Zeephongsekul
Keyword(s):  
Nonparametric Regression ◽  
Sequential Procedure ◽  
Regression Estimation ◽  
Two Stage ◽  
Nonparametric Regression Estimation
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