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作者:

Liu, Youming (Liu, Youming.) (学者:刘有明) | Xu, Junlian (Xu, Junlian.)

收录:

Scopus SCIE

摘要:

This paper provides upper bounds of wavelet estimations on L-p (1 <= p < infinity) risk for a density function in Besov spaces based on negatively associated stratified size-biased random samples. It turns out that the classical theorem of Donoho, Johnstone, Kerkyacharian and Picard is completely extended to more general cases. More precisely, we consider the model with multiplication noise and allow the sample negatively associated. Our theory is illustrated with a simulation study.

关键词:

Besov space density function negatively associated wavelet estimator weight function

作者机构:

  • [ 1 ] [Liu, Youming]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 2 ] [Xu, Junlian]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Xu, Junlian]Baoji Univ Arts & Sci, Dept Math, Baoji 721013, Peoples R China

通讯作者信息:

  • 刘有明

    [Liu, Youming]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

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来源 :

JOURNAL OF NONPARAMETRIC STATISTICS

ISSN: 1048-5252

年份: 2014

期: 3

卷: 26

页码: 537-554

1 . 2 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:56

JCR分区:4

中科院分区:4

被引次数:

WoS核心集被引频次: 17

SCOPUS被引频次: 19

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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