Wavelet Optimal Estimations for Density Functions under Severely Ill-Posed Noises
Motivated by Lounici and Nickl's work (2011), this paper considers the problem of estimation of a density f based on an independent and identically distributed sample Y1,…,Yn from g=f*φ. We show a wavelet optimal estimation for a density (function) over Besov ball Br,qs(L) and Lp risk (1≤p<...
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Main Authors: | Rui Li, Youming Liu |
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Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/260573 |
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