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Author:

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

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

negatively associated wavelet estimator density function Besov space weight function

Author Community:

  • [ 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

Reprint Author's Address:

  • 刘有明

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

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Source :

JOURNAL OF NONPARAMETRIC STATISTICS

ISSN: 1048-5252

Year: 2014

Issue: 3

Volume: 26

Page: 537-554

1 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:81

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 19

SCOPUS Cited Count: 20

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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