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Abstract:
This paper provides upper bounds of wavelet estimations on L-p (1 <= p < infinity) risk for a density function in Besov spaces based on negatively associated stratified size-biased random samples. It turns out that the classical theorem of Donoho, Johnstone, Kerkyacharian and Picard is completely extended to more general cases. More precisely, we consider the model with multiplication noise and allow the sample negatively associated. Our theory is illustrated with a simulation study.
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JOURNAL OF NONPARAMETRIC STATISTICS
ISSN: 1048-5252
Year: 2014
Issue: 3
Volume: 26
Page: 537-554
1 . 2 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:81
JCR Journal Grade:4
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 19
SCOPUS Cited Count: 20
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
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