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Author:

Cao, Kaikai (Cao, Kaikai.) | Zeng, Xiaochen (Zeng, Xiaochen.)

Indexed by:

Scopus SCIE

Abstract:

This paper addresses the adaptive wavelet estimations for density derivatives by using data-driven methods. Based on the classical linear wavelet estimator of density derivatives, we provide a point-wise estimation under the local H & ouml;lder condition firstly. Moreover, we introduce a data-driven wavelet estimator for adaptivity and prove a point-wise oracle inequality, which does not require any assumption on the underlying function. Finally, by using the point-wise oracle inequality, the point-wise estimation under the local Holder condition and L-p-risk (1 <= p < infinity) estimation on Besov spaces are investigated respectively.

Keyword:

Density derivative Data-driven Wavelet Local Holder condition Besov space

Author Community:

  • [ 1 ] [Cao, Kaikai]Weifang Univ, Sch Math & Stat, Weifang 261061, Peoples R China
  • [ 2 ] [Zeng, Xiaochen]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zeng, Xiaochen]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China;;

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Source :

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

ISSN: 0126-6705

Year: 2024

Issue: 6

Volume: 47

1 . 2 0 0

JCR@2022

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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