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

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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Veröffentlicht in:Abstract and applied analysis 2012, Vol.2012 (2012), p.1-12
Hauptverfasser: Wang, Xuejun, Xia, Fengxi, Ge, Meimei, Hu, Shuhe, Yang, Wenzhi
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409