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)
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Rafał Kulik (2003)
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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.
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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.
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