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Author:

Cao, Kaikai (Cao, Kaikai.) | Zeng, Xiaochen (Zeng, Xiaochen.)

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 L-p risk on Besov spaces B-r,q(s)(R). Compared with the traditional adaptive wavelet estimators, the estimation for the case of 0 < s <= 1/r is considered. On the other hand, the convergence rate in the region of 1 <= p <= 2sr+(2 beta+1)r/sr+2 beta+1 is improved than that for not necessarily compactly supported density estimations.

Keyword:

density estimation deconvolution Besov spaces data-driven Wavelets

Author Community:

  • [ 1 ] [Cao, Kaikai]Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China
  • [ 2 ] [Zeng, Xiaochen]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R 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:

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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