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作者:

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

收录:

Scopus SCIE

摘要:

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.

关键词:

Density function wavelet Holder space pointwise estimation convergence

作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING

ISSN: 0219-6913

年份: 2020

期: 4

卷: 18

1 . 4 0 0

JCR@2022

ESI学科: COMPUTER SCIENCE;

ESI高被引阀值:132

被引次数:

WoS核心集被引频次: 1

SCOPUS被引频次: 1

ESI高被引论文在榜: 0 展开所有

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