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作者:

Wang, Jinru (Wang, Jinru.) | Shi, Wenhui (Shi, Wenhui.) | Zeng, Xiaochen (Zeng, Xiaochen.)

收录:

SCIE

摘要:

The problem of estimating a function's derivative arises in many scientific settings, from medical imaging to astronomy. In this paper, we consider a hard thresholding wavelet approach to certain blind deconvolution problem based on the heteroscedastic data. Motivated by Delaigle & Meister's work, the adaptive wavelet estimators are proposed and their asymptotic properties are investigated. It is shown that the derivative estimators for the blind deconvolution model are spatially adaptive and attain the optimal rate of convergence up to a logarithmic factor over a range of Besov classes. Our theorems generalize the results of Cai and Navarro et al. in some sense.

关键词:

Besov space convergence Gauss white noise pointspread effect wavelet

作者机构:

  • [ 1 ] [Wang, Jinru]Beijing Univ Technol, Fac Sci, Coll Math, Beijing 100124, Peoples R China
  • [ 2 ] [Shi, Wenhui]Beijing Univ Technol, Fac Sci, Coll Math, Beijing 100124, Peoples R China
  • [ 3 ] [Zeng, Xiaochen]Beijing Univ Technol, Fac Sci, Coll Math, Beijing 100124, Peoples R China

通讯作者信息:

  • [Zeng, Xiaochen]Beijing Univ Technol, Fac Sci, Coll Math, Beijing 100124, Peoples R China

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来源 :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

年份: 2020

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:15

JCR分区:4

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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