Author profile: Villa Caro, Rafael
Institutional data
Name | Villa Caro, Rafael |
Department | Análisis Matemático |
Knowledge area | Análisis Matemático |
Professional category | Profesor Titular de Universidad |
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Statistics
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No. publications
10
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No. visits
1408
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No. downloads
2158
Publications |
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Final Degree Project
Tomografía geométrica
(2023)
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Article
John's ellipsoid and the integral ratio of a log-concave function
(Springer, 2018)
We extend the notion of John’s ellipsoid to the setting of integrable log-concave functions. This will allow us to define ... |
Article
Rogers-Shephard inequality for log-concave functions
(Elsevier, 2016)
In this paper we prove different functional inequalities extending the classical Rogers-Shephard inequalities for convex ... |
Article
Maximal equilateral sets
(Springer, 2013)
A subset of a normed space X is called equilateral if the distance between any two points is the same. Let m(X) be the ... |
Article
Brunn-Minkowski and Zhang inequalities for convolution bodies
(Elsevier, 2013)
A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain ... |
Article
An application of mixture distributions in modelization of length of hospital stay
(Wiley, 2008)
Length of hospital stay (LOS) is an important indicator of the hospital activity and management of health care. The skewness ... |
Article
A lower bound for the equilateral number of normed spaces
(American Mathematical Society, 2008)
We show that if the Banach-Mazur distance between an n-dimensional normed space X and ℓ n∞ is at most 3/2, then there exist ... |
Article
On the consistency of MLE in finite mixture models of exponential families
(Elsevier, 2007)
Finite mixtures of densities from an exponential family are frequently used in the statistical analysis of data. Modelling ... |
Article
Concentration of the distance in finite dimensional normed spaces
(University College London, Faculty of Mathematical and Physical Sciences, Department of Mathematics, 1998)
We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ∥x − y∥ is ... |
PhD Thesis
Propiedades de concentración en espacios de dimensión finita Inmersiones isométricas en espacios de funciones continuas
(1998)
Esta memoria está dedicada al estudio de dos problemas del Análisis Funcional: El estudio de propiedades de concentración ... |