Wavelet Optimal Estimations for Density Functions under Severely Ill-Posed Noises

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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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.386-392-240
Hauptverfasser: Li, Rui, Liu, Youming
Format: Artikel
Sprache:eng
Schlagworte:
Density functionals
Functions, Inverse
Mathematical research
Wavelet transforms
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Zusammenfassung: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
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/260573