A sharp minimax lower bound for the nonparametric estimation of Sobolev densities of order \(1/2\)

DOI10.1016/j.spl.2009.08.011zbMath1178.62027OpenAlexW2033978153MaRDI QIDQ1049181

Sam Efromovich

Publication date: 8 January 2010

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2009.08.011

Mathematics Subject Classification ID

Density estimation (62G07)

Cites Work

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• Adaptive estimation of and oracle inequalities for probability densities and characteristic functions
• Lower bound for estimation of Sobolev densities of order less \(1/2\)
• Nonparametric estimation of smooth probability densities in \(L_ 2\)
• Nonparametric Estimation of a Density of Unknown Smoothness