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Abstract:
This paper considers a lower bound estimation over L-P (R-d) (1 <= p < infinity) risk for d dimensional regression functions in Besov spaces based on biased data. We provide the best possible lower bound up to a Inn factor by using wavelet methods. When the weight function w(x, y) equivalent to 1 and d = 1, our result reduces to Chesneau's theorem, see Chesneau (2007). (C) 2015 Elsevier B.V. All rights reserved.
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Source :
STATISTICS & PROBABILITY LETTERS
ISSN: 0167-7152
Year: 2016
Volume: 108
Page: 23-32
0 . 8 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:71
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 11
SCOPUS Cited Count: 11
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 7
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