Lower bound for estimation of Sobolev densities of order less \(1/2\)

DOI10.1016/j.jspi.2008.10.017zbMath1160.62031OpenAlexW2012250904MaRDI QIDQ1015873

Sam Efromovich

Publication date: 30 April 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.10.017

zbMATH Keywords

characteristic functionmean integrated squared errornonparametricdiscontinuousinfinite supportnot absolutely integrable

Mathematics Subject Classification ID

Density estimation (62G07) Minimax procedures in statistical decision theory (62C20) Characteristic functions; other transforms (60E10)

Related Items (3)

Laguerre and Hermite bases for inverse problems ⋮ Sobolev-Hermite versus Sobolev nonparametric density estimation on \(\mathbb{R}\) ⋮ A sharp minimax lower bound for the nonparametric estimation of Sobolev densities of order \(1/2\)

Cites Work

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• Nonparametric Estimation of a Density of Unknown Smoothness

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