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NONPARAMETRIC ESTIMATION OF MULTIVARIATE CONVEX-TRANSFORMED DENSITIES

We study estimation of multivariate densities p of the form p(x) = h(g(x)) for x ∈ ℝ(d) and for a fixed monotone function h and an unknown convex function g. The canonical example is h(y) = e(−y) for y ∈ ℝ; in this case, the resulting class of densities [Formula: see text] is well known as the class...

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Détails bibliographiques
Auteurs principaux: Seregin, Arseni, Wellner, Jon A.
Format: Artigo
Langue:Inglês
Publié: 2010
Sujets:
Accès en ligne:https://ncbi.nlm.nih.gov/pmc/articles/PMC3058562/
https://ncbi.nlm.nih.gov/pubmed/21423877
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1214/10-AOS840
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