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Author:

Cao, K. (Cao, K..) | Zeng, X. (Zeng, X..)

Indexed by:

Scopus SCIE

Abstract:

This current paper provides a data-driven wavelet estimator for deconvolution density model. Moreover, we investigate the totally adaptive estimations with moderately ill-posed noises over Lp risk on Besov spaces Br,qs(R) . Compared with the traditional adaptive wavelet estimators, the estimation for the case of 0<s≤1r is considered. On the other hand, the convergence rate in the region of 1≤p≤2sr+(2β+1)rsr+2β+1 is improved than that for not necessarily compactly supported density estimations. © 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keyword:

Besov spaces deconvolution Wavelets density estimation data-driven

Author Community:

  • [ 1 ] [Cao K.]School of Mathematics and Information Science, Weifang University, Weifang, 261061, China
  • [ 2 ] [Zeng X.]Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, China

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Source :

Results in Mathematics

ISSN: 1422-6383

Year: 2023

Issue: 4

Volume: 78

2 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:9

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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