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Author:

Liu, You Ming (Liu, You Ming.) (Scholars:刘有明) | Xu, Jun Lian (Xu, Jun Lian.)

Indexed by:

Scopus SCIE CSCD

Abstract:

This paper deals with the L-p-consistency of wavelet estimators for a density function based on size-biased random samples. More precisely, we firstly show the L-p-consistency of wavelet estimators for independent and identically distributed random vectors in R-d. Then a similar result is obtained for negatively associated samples under the additional assumptions d = 1 and the monotonicity of the weight function.

Keyword:

Wavelet estimator negatively associated approximation consistency size-biased sample

Author Community:

  • [ 1 ] [Liu, You Ming]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 2 ] [Xu, Jun Lian]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Xu, Jun Lian]Baoji Univ Arts & Sci, Dept Math, Baoji 721013, Peoples R China

Reprint Author's Address:

  • 刘有明

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

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Source :

ACTA MATHEMATICA SINICA-ENGLISH SERIES

ISSN: 1439-8516

Year: 2016

Issue: 7

Volume: 32

Page: 765-782

0 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:71

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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