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作者:

Cao, Kaikai (Cao, Kaikai.) | Zeng, Xiaochen (Zeng, Xiaochen.)

收录:

SCIE

摘要:

Using kernel methods, Lepski and Willer study a convolution structure density model and establish adaptive and optimal Lp risk estimations over an anisotropic Nikol'skii space (Lepski, O.; Willer, T. Oracle inequalities and adaptive estimation in the convolution structure density model. Ann. Stat. 2019, 47, 233-287). Motivated by their work, we consider the same problem over Besov balls by wavelets in this paper and first provide a linear wavelet estimate. Subsequently, a non-linear wavelet estimator is introduced for adaptivity, which attains nearly-optimal convergence rates in some cases.

关键词:

adaptive density estimation Besov space generalized deconvolution wavelet

作者机构:

  • [ 1 ] [Cao, Kaikai]Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China
  • [ 2 ] [Zeng, Xiaochen]Beijing Univ Technol, Sch Math, Fac Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • [Cao, Kaikai]Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China

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来源 :

MATHEMATICS

年份: 2020

期: 9

卷: 8

2 . 4 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:15

JCR分区:1

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 2

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