R
Rafael Villa
Researcher at University of Seville
Publications - 26
Citations - 395
Rafael Villa is an academic researcher from University of Seville. The author has contributed to research in topics: Concave function & Convex geometry. The author has an hindex of 11, co-authored 26 publications receiving 341 citations.
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An application of mixture distributions in modelization of length of hospital stay.
TL;DR: A mixture of the union of Gamma, Weibull and Lognormal families is used in the model, instead of a mixture of a unique distribution family, to model the variable LOS within diagnosis-related groups (DRG) through finite mixtures of distributions.
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Concentration of the distance in finite dimensional normed spaces
TL;DR: In this article, it was shown that in every finite dimensional normed space, for "most" pairs (x, y) of points in the unit ball, ║x − y is more than √ 2(1 − e).
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Rogers–Shephard inequality for log-concave functions
TL;DR: In this paper, different functional inequalities extending the classical Rogers-Shephard inequalities for convex bodies have been proved, and the equality cases in all these inequalities have been characterized.
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John's ellipsoid and the integral ratio of a log-concave function
TL;DR: In this paper, the authors extend the notion of John's ellipsoid to the setting of integrable log-concave functions, and define the integral ratio of a log-Concave function, which can be viewed as a stability version of functional affine isoperimetric inequality.
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Rogers–Shephard and local Loomis–Whitney type inequalities
David Alonso-Gutiérrez,Shiri Artstein-Avidan,Bernardo González Merino,C. Hugo Jiménez,Rafael Villa +4 more
TL;DR: In this paper, the authors provide functional analogues of the classical geometric inequality of Rogers and Shephard on products of volumes of sections and projections, and obtain some new functional versions of the Rogers-Shephard type inequalities as well as some generalizations of the geometric GSH inequality in the case where the subspaces intersect.