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Author:

Wang, Jinru (Wang, Jinru.) | Zhang, Zhenming (Zhang, Zhenming.) | Zhang, Xue (Zhang, Xue.) | Zeng, Xiaochen (Zeng, Xiaochen.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we investigate the wavelet-based estimators of a kind of censored mixture density and discuss their pointwise asymptotic convergence rates over Holder spaces. We first consider the linear wavelet estimator and give its upper bound. However, the linear one is nonadaptive and not applicable since it is related to the unknown space parameter. Finally, we use the hard threshold method to explore adaptive nonlinear wavelet estimator and obtain the same convergence order as the linear one up to a logarithmic penalty.

Keyword:

Density function wavelet Holder space pointwise estimation convergence

Author Community:

  • [ 1 ] [Wang, Jinru]Beijing Univ Technol, Dept Appl Math, Pingle Yuan 100, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Zhenming]Beijing Univ Technol, Dept Appl Math, Pingle Yuan 100, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Xue]Beijing Univ Technol, Dept Appl Math, Pingle Yuan 100, Beijing 100124, Peoples R China
  • [ 4 ] [Zeng, Xiaochen]Beijing Univ Technol, Dept Appl Math, Pingle Yuan 100, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zeng, Xiaochen]Beijing Univ Technol, Dept Appl Math, Pingle Yuan 100, Beijing 100124, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING

ISSN: 0219-6913

Year: 2020

Issue: 4

Volume: 18

1 . 4 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:132

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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