Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences

We study the complete consistency for estimator of nonparametric regression model based on ρ~-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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Bibliographic Details
Main Authors: Xuejun Wang, Fengxi Xia, Meimei Ge, Shuhe Hu, Wenzhi Yang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/907286
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