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Author:

Wang, Jinru (Wang, Jinru.) | Zhang, Qingqing (Zhang, Qingqing.) | Kou, Junke (Kou, Junke.)

Indexed by:

EI Scopus SCIE

Abstract:

Measurement errors occur in many real data applications. In this paper, the linear and the non linear wavelet estimators of the derivatives of the density function are constructed in the case of data contaminated with heteroscedastic measurement errors. We establish L-p risk performance of the estimators and show that they achieve fast convergence rates under quite general conditions.

Keyword:

Besov space convergence rate Wavelet estimators density derivatives

Author Community:

  • [ 1 ] [Wang, Jinru]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Qingqing]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Kou, Junke]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 :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

Year: 2017

Issue: 15

Volume: 46

Page: 7337-7354

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:66

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 6

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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