On minimax density estimation on R
By Anatoli B. Juditsky, Sophie Lambert-Lacroix. 2001
69 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/991b969a662bf6284f0fa717eb9409cd38e784b8
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Citations in the corpus
- Adaptive density estimation: a curse of support? ✩ (2009, methodology): “The subsequent results will constitute generalizations of the results derived in Juditsky and Lambert-Lacroix (2004) who pointed out minimax rates for density estimation on the class of Hölder spaces.”
- An exponential inequality for the distribution function of the kernel density estimator, with applications to adaptive estimation (2009, methodology): “, [7,19,21,22], the case p = ∞ does not seem to have been treated in the literature, except in the context of the Gaussian white noise model: Using Lepski’s method, Tsybakov [33] treated the case p = ∞ as well as pointwise density estimation in this Gaussian framework, and using an estimator differe”
- Adaptation on the space of finite signed measures (2008, background): “For example, Donoho, Johnstone, Kerkyacharian, Picard (1996), Kerkyacharian, Picard, Tribouley (1996) (for compactly supported densities) and Juditsky and Lambert-Lacroix (2004) (for densities on R) treated adaptation in general Lp-loss, 1 ≤ p ∞, for compactly supported densities, by…”
- Near optimal thresholding estimation of a Poisson intensity on the real line (2008, methodology): “First general results where the loss is independent of the functional class have been pointed out by Juditsky and Lambert-Lacroix [29] who investigated minimax rates on the particular class of the Besov spaces Bα∞,∞ for the Lp′ -risk.”