Wavelet Estimation of Regression Function Based on Mixing Sequence Under Fixed Design
Received:July 13, 1998  
Key Words: mixed series   wavelet estimate   regression function   week convergence   strong convergence   rate of convergence  
Fund Project:
Author NameAffiliation
CHAI Gen-xiang Dept
of Appl
Math
Tongji University
Shanghai
China 
LIU Yuan-jin Dept
of Appl
Math
Tongji University
Shanghai
China 
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Abstract:
      Consider nonparametric regression modal Ｙi＝ｒ（ｔi）＋εi, ｔi is fixed design point and ｛εi｝is ρ depending r， v， we get the estimation of r(t) with wavelet method and discuss its weak convergence, strong convergence and the rate of convergence，
Citation:
DOI:10.3770/j.issn:1000-341X.2001.04.015
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