Limit Theorems for Certain Functionals of Unions of Random Closed Sets

DOI10.1137/S0040585X97979494zbMath1032.60033OpenAlexW2016875544MaRDI QIDQ4442888

Tomasz Schreiber

Publication date: 21 January 2004

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97979494

zbMATH Keywords

extreme valuesrandom setsconvex hullsperimetermean widthhitting functionalsunions of closed sets

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17)

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Random polytopes and the Efron-Stein jackknife inequality. ⋮ Limit theorems for diameter of a random sample in the unit ball ⋮ Asymptotic geometry of high-density smooth-grained Boolean models in bounded domains ⋮ Limit theorems for the typical Poisson-Voronoi cell and the Crofton cell with a large inradius

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