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作者:

Wang, Jinru (Wang, Jinru.) | Liu, Wei (Liu, Wei.)

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EI Scopus SCIE

摘要:

The observed data are usually contaminated by various errors in practical applications. This paper deals with the density deconvolution problems with super smooth errors under heteroscedastic situation. We provide a new wavelet estimator and investigate its upper bound of L-p risk over Besov ball. Then the lower bound is given which shows that the defined estimator attains the optimal convergence rate. It turns out that Theorem 3.1 extends some existing theorems of Pensky and Vidakovic, Fan and Koo, as well as Li and Liu in some sense. However, since the convergence is just logarithmic rate which is not satisfactory for us. Motivated by the works of Pensky and Vidakovic, Li and Liu, we study the wavelet estimator over super smooth space to improve the convergence rate.

关键词:

42C40 62G07 62G20 Besov space convergence rate heteroscedastic error super smooth space wavelet estimator

作者机构:

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

通讯作者信息:

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

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来源 :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

年份: 2019

期: 10

卷: 48

页码: 2356-2371

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:25

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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