Rates of strong uniform consistency for multivariate kernel density estimators
Evarist Giné, Armelle Guillou (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Evarist Giné, Armelle Guillou (2002)
Annales de l'I.H.P. Probabilités et statistiques
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K. Bertin, E. Le Pennec, V. Rivoirard (2011)
Annales de l'I.H.P. Probabilités et statistiques
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The aim of this paper is to build an estimate of an unknown density as a linear combination of functions of a dictionary. Inspired by Candès and Tao’s approach, we propose a minimization of the 1-norm of the coefficients in the linear combination under an adaptive Dantzig constraint coming from sharp concentration inequalities. This allows to consider a wide class of dictionaries. Under local or global structure assumptions, oracle inequalities are derived. These theoretical results...
Henryk Iwaniec (1976)
Acta Arithmetica
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Marcelo Gomez (1984)
Studia Mathematica
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Gert Almkvist (1992)
Acta Arithmetica
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Paul Deheuvels (2000)
Annales de l'I.H.P. Probabilités et statistiques
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J. Pintz (1976)
Acta Arithmetica
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