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Results on the intersection of randomly located sets

Published online by Cambridge University Press:  14 July 2016

Franz Streit
Franz Streit*
Affiliation:
University of Bern, Switzerland
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Abstract

Randomly generated subsets of a point-set A 0 in the k-dimensional Euclidean space Rk are investigated. Under suitable restrictions the probability is determined that a randomly located set which hits A 0. is a subset of A 0 . Some results on the expected value of the measure and the surface area of the common intersection-set formed by n randomly located objects and A 0 are generalized and derived for arbitrary dimension k.

Keywords

GEOMETRICAL PROBABILITYRANDOM SETS

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 4 , December 1975 , pp. 817 - 823
Copyright
Copyright © Applied Probability Trust 1975 

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