Probability that n Random Points Are in Convex Position.
P. Valtr (1995)
Discrete & computational geometry
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Displaying similar documents to “Geometrical probabilities for convex test bodies.”
Probability that n Random Points Are in Convex Position.
On some random convex sets
R. Jajte (1971)
Colloquium Mathematicae
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On the Expected Number of k-Sets.
I. Bárány, W. Steiger (1994)
Discrete & computational geometry
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Stochastic comparison of multivariate random sums
Rafał Kulik (2003)
Applicationes Mathematicae
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We establish preservation results for the stochastic comparison of multivariate random sums of stationary, not necessarily independent, sequences of nonnegative random variables. We consider convex-type orderings, i.e. convex, coordinatewise convex, upper orthant convex and directionally convex orderings. Our theorems generalize the well-known results for the stochastic ordering of random sums of independent random variables.
Legendre functions and the method of random Bregman projections.
Bauschke, Heinz G., Borwein, Jonathan M. (1997)
Journal of Convex Analysis
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On the Modality of Convex Polygons.
K. Abrahamson (1990)
Discrete & computational geometry
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Inequalities on the variances of convex functions of random variables.
See, Chuen-Teck, Chen, Jeremy (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Generalization of a formula of C. Buchta about the convex hull of random points.
Fernando Affentranger (1988)
Elemente der Mathematik
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On algorithmical testing tables of random numbers.
D. Banjevic, Z. Ivkovic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Fixing and hindering systems in combinatorial geometry.
Boltyanski, V., Martini, H. (1999)
Beiträge zur Algebra und Geometrie
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On random convex hulls
Jan Mycielski (1987)
Colloquium Mathematicae
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Generalized RBSDEs with Random Terminal Time and Applications to PDEs
Katarzyna Jańczak-Borkowska (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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Generalized reflected backward stochastic differential equations have been considered so far only in the case of a deterministic interval. In this paper the existence and uniqueness of solution for generalized reflected backward stochastic differential equations in a convex domain with random terminal time is studied. Applications to the obstacle problem with Neumann boundary conditions for partial differential equations of elliptic type are given.
An Introduction to the Theory of Stochastic Orders.
F. Belzunce (2010)
Boletín de Estadística e Investigación Operativa. BEIO
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