Complete Consistency of the Estimator of Nonparametric Regression Models Based onρ ~ -Mixing Sequences
Author(s) -
Xuejun Wang,
Fengxi Xia,
Meimei Ge,
Shuhe Hu,
Wenzhi Yang
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/907286
Subject(s) - consistency (knowledge bases) , estimator , mathematics , algorithm , artificial intelligence , nonparametric statistics , computer science , statistics
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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