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Author:

Wang, Jinru (Wang, Jinru.) | Wang, Meng (Wang, Meng.) | Zhou, Yuan (Zhou, Yuan.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we consider the density estimation problem from independent and identically distributed (i.i.d.) biased observations. We develop an adaptive wavelet hard thresholding rule and evaluate its performance by considering risk over Sobolev balls. We prove that our estimation attains a sharp rate of convergence and show the optimality. MSC: 49K40, 90C29, 90C31.

Keyword:

hard thresholding wavelet density estimation Sobolev spaces convergence rate

Author Community:

  • [ 1 ] [Wang, Jinru]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Meng]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Zhou, Yuan]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Wang, Jinru]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

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Source :

JOURNAL OF INEQUALITIES AND APPLICATIONS

ISSN: 1029-242X

Year: 2013

Page: 1-15

1 . 6 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 45

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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