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

Rui Li and Youming Liu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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

Date: 2013
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https://doi.org/10.1155/2013/260573

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:260573

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