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Author:

Kou, Junke (Kou, Junke.) | Liu, Youming (Liu, Youming.) (Scholars:刘有明)

Indexed by:

Scopus SCIE

Abstract:

Using a wavelet basis, we establish in this paper upper bounds of wavelet estimation on L p(Rd) risk of regression functions with strong mixing data for 1 <= p < infinity. In contrast to the independent case, these upper bounds have different analytic formulae for p. [1, 2] and p. (2,+infinity). For p = 2, it turns out that our result reduces to a theorem of Chaubey et al. (J Nonparametr Stat 25: 53-71, 2013); and for d = 1 and p = 2, it becomes the corresponding theorem of Chaubey and Shirazi (Commun Stat Theory Methods 44: 885-899, 2015).

Keyword:

Strong mixing L p risk Wavelet Regression estimation Convergence rate

Author Community:

  • [ 1 ] [Kou, Junke]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 2 ] [Liu, Youming]Beijing Univ Technol, Dept Appl Math, Beijing 100124, 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 :

STATISTICAL METHODS AND APPLICATIONS

ISSN: 1618-2510

Year: 2018

Issue: 4

Volume: 27

Page: 667-688

1 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:63

JCR Journal Grade:4

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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