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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 d are extended to the space of compact sets on 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...

Geometric probabilities for non convex lattices. II

Andrei Duma, Marius Stoka (2002)

Bollettino dell'Unione Matematica Italiana

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.

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