Indexed by:
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:
Reprint Author's Address:
Email:
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
Affiliated Colleges: