Limit theorems for convex hulls of random sets

Let , be i.i.d. random closed sets in . Limit theorems for their normalized convex hulls conv () are proved. The limiting distributions correspond to C-stable random sets. The random closed set A is called C-stable if, for any , the sets anA and conv ( coincide in distribution for certain positive a...

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Veröffentlicht in:	Advances in applied probability 1993-06, Vol.25 (2), p.395-414
1. Verfasser:	Molchanov, Ilya S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Density Exact sciences and technology Geometric probability. Stochastic geometry. Random sets Mathematical functions Mathematical integrals Mathematical sets Mathematical theorems Mathematics Probabilities Probability and statistics Probability theory and stochastic processes Random sampling Random variables Sciences and techniques of general use Statistical theories
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