JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (1): 25-30.doi: 10.6040/j.issn.1671-9352.0.2021.798

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Consistency of wavelet estimator for regression model with mixed noise

HUANG Qin-mei, KOU Jun-ke*   

  1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, Guangxi, China
  • Published:2023-02-12

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Abstract: For the problem of regression estimations with mixed noise, a linear wavelet estimator is constructed by wavelet method. The Lp(1≤p<∞) consistency of wavelet estimator is proved without any smooth conditions of the regression function.

Key words: wavelet, regression estimation, consistency, mixed noise

CLC Number: 

  • O212.7
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