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Author:

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

Indexed by:

Scopus SCIE PubMed

Abstract:

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.

Keyword:

Wavelets Continuous-discrete density Optimality Density estimation

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

JOURNAL OF INEQUALITIES AND APPLICATIONS

ISSN: 1029-242X

Year: 2018

1 . 6 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:63

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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