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Abstract:
The mixed continuous-discrete density model plays an important role in reliability, finance, biostatistics, and economics. Using wavelets methods, Chesneau, Dewan, and Doosti provide upper bounds of wavelet estimations on L-2 risk for a two-dimensional continuous-discrete density function over Besov spaces B-r,q(s). This paper deals with L-p (1 <= p < infinity) risk estimations over Besov space, which generalizes Chesneau-Dewan-Doosti's theorems. In addition, we firstly provide a lower bound of Lp risk. It turns out that the linear wavelet estimator attains the optimal convergence rate for r >= p, and the nonlinear one offers optimal estimation up to a logarithmic factor.
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JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN: 1029-242X
Year: 2018
1 . 6 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:63
JCR Journal Grade:1
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 5
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