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Gaussian approximation for functionals of Gibbs particle processes

Daniela Flimmel, Viktor Beneš (2018)

Kybernetika

In the paper asymptotic properties of functionals of stationary Gibbs particle processes are derived. Two known techniques from the point process theory in the Euclidean space $ℝ^{d}$ are extended to the space of compact sets on $ℝ^{d}$ equipped with the Hausdorff metric. First, conditions for the existence of the stationary Gibbs point process with given conditional intensity have been simplified recently. Secondly, the Malliavin-Stein method was applied to the estimation of Wasserstein distance between the...

We solve problems of Buffon type for a lattice with elementary tile a nonconvex polygon, using as test bodies a line sigment and a circle.

Geometrical probabilities for convex test bodies.

Duma, Andrei, Stoka, Marius (1999)

Beiträge zur Algebra und Geometrie

Geometrické pravděpodobnosti [Book]

Hostinský, Bohuslav (1926)

Grundgleichungen der Stereologie I

H. Giger (1970)

Metrika

Grundgleichungen der Stereologie II.

H. Giger (1972)

Metrika

Displaying 1 – 10 of 10

Gaussian approximation for functionals of Gibbs particle processes

Gaussian behaviour and average of marginals for convex bodies.

Gaussian limits for random geometric measures.

Generalization of a formula of C. Buchta about the convex hull of random points.

Geometric probabilities for convex bodies of large revolution in the Euclidean space $E_{3}$ . II.

Geometric probabilities for non convex lattices. II

Geometrical probabilities for convex test bodies.

Geometrické pravděpodobnosti [Book]

Grundgleichungen der Stereologie I

Grundgleichungen der Stereologie II.

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