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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).
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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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