Convergence rates of wavelet estimators in semiparametric regression models under NA samples

2012 ◽  
Vol 33 (4) ◽  
pp. 609-624 ◽  
Author(s):  
Hongchang Hu ◽  
Li Wu
Author(s):  
Huijun Guo ◽  
Junke Kou

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.


2011 ◽  
Vol 235 (5) ◽  
pp. 1418-1428 ◽  
Author(s):  
Esra Akdeniz Duran ◽  
Fikri Akdeniz ◽  
Hongchang Hu

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