• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Guo, Huijun (Guo, Huijun.) | Liu, Youming (Liu, Youming.) (Scholars:刘有明)

Indexed by:

Scopus SCIE

Abstract:

By developing the classical kernel method, Delaigle and Meister provide a nice estimation for a density function with some Fourier-oscillating noises over a Sobolev ball W-2(s)(L) and over L-2 risk (Delaigle and Meister in Stat. Sin. 21: 1065-1092, 2011). The current paper extends their theorem to Besov ball B-r,q(s)(L) and L-p risk with p, q, r is an element of [1,infinity] by using wavelet methods. We firstly show a linear wavelet estimation for densities in B-r,q(s)(L) over L-p risk, motivated by the work of Delaigle and Meister. Our result reduces to their theorem, when p = q = r = 2. Because the linear wavelet estimator is not adaptive, a nonlinear wavelet estimator is then provided. It turns out that the convergence rate is better than the linear one for r <= p. In addition, our conclusions contain estimations for density derivatives as well.

Keyword:

Besov space wavelet estimation Fourier-oscillating noises density derivative density function

Author Community:

  • [ 1 ] [Guo, Huijun]Beijing Univ Technol, Dept Appl Math, Beijing, Peoples R China
  • [ 2 ] [Liu, Youming]Beijing Univ Technol, Dept Appl Math, Beijing, Peoples R China

Reprint Author's Address:

  • 刘有明

    [Liu, Youming]Beijing Univ Technol, Dept Appl Math, Pingle Yuan 100, Beijing, Peoples R China

Show more details

Related Keywords:

Source :

JOURNAL OF INEQUALITIES AND APPLICATIONS

ISSN: 1029-242X

Year: 2014

1 . 6 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:81

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

Affiliated Colleges:

Online/Total:358/10564416
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.