On complete consistency for the weighted estimator of nonparametric regression models

2019 ◽  
Vol 113 (3) ◽  
pp. 2319-2333 ◽  
Author(s):  
Rui Zhang ◽  
Yi Wu ◽  
Weifeng Xu ◽  
Xuejun Wang
Keyword(s):  
Nonparametric Regression ◽  
Regression Models ◽  
Weighted Estimator ◽  
Complete Consistency

Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors

Statistics ◽  
2014 ◽  
Vol 49 (2) ◽  
pp. 396-407 ◽  
Author(s):  
Xuejun Wang ◽  
Lulu Zheng ◽  
Chen Xu ◽  
Shuhe Hu
Keyword(s):  
Nonparametric Regression ◽  
Regression Models ◽  
Complete Consistency

scholarly journals Complete Consistency of the Estimator of Nonparametric Regression Models Based onρ~-Mixing Sequences

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Xuejun Wang ◽  
Fengxi Xia ◽  
Meimei Ge ◽  
Shuhe Hu ◽  
Wenzhi Yang
Keyword(s):  
Regression Model ◽  
Nonparametric Regression ◽  
Regression Models ◽  
Nearest Neighbor ◽  
Type Inequality ◽  
Nonparametric Regression Model ◽  
Complete Consistency ◽  
Model Based ◽  
Rosenthal Type Inequality ◽  
Mixing Sequences

We study the complete consistency for estimator of nonparametric regression model based onρ~-mixing sequences by using the classical Rosenthal-type inequality and the truncated method. As an application, the complete consistency for the nearest neighbor estimator is obtained.

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