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作者:

Hu, Lin (Hu, Lin.) | Zeng, Xiaochen (Zeng, Xiaochen.) | Wang, Jinru (Wang, Jinru.)

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摘要:

The mixed continuous-discrete density model plays an important role in reliability, finance, biostatistics, and economics. Using wavelets methods, Chesneau, Dewan, and Doosti provide upper bounds of wavelet estimations on L-2 risk for a two-dimensional continuous-discrete density function over Besov spaces B-r,q(s). This paper deals with L-p (1 <= p < infinity) risk estimations over Besov space, which generalizes Chesneau-Dewan-Doosti's theorems. In addition, we firstly provide a lower bound of Lp risk. It turns out that the linear wavelet estimator attains the optimal convergence rate for r >= p, and the nonlinear one offers optimal estimation up to a logarithmic factor.

关键词:

Continuous-discrete density Density estimation Optimality Wavelets

作者机构:

  • [ 1 ] [Hu, Lin]Beijing Union Univ, Dept Basic Courses, Beijing, Peoples R China
  • [ 2 ] [Zeng, Xiaochen]Beijing Univ Technol, Dept Appl Math, Beijing, Peoples R China
  • [ 3 ] [Wang, Jinru]Beijing Univ Technol, Dept Appl Math, Beijing, Peoples R China

通讯作者信息:

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

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来源 :

JOURNAL OF INEQUALITIES AND APPLICATIONS

ISSN: 1029-242X

年份: 2018

1 . 6 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:34

JCR分区:1

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WoS核心集被引频次: 0

SCOPUS被引频次: 1

ESI高被引论文在榜: 0 展开所有

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