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Results on the intersection of randomly located sets
Published online by Cambridge University Press: 14 July 2016
Abstract
Randomly generated subsets of a point-set A0 in the k-dimensional Euclidean space Rk are investigated. Under suitable restrictions the probability is determined that a randomly located set which hits A0. is a subset of A0. 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 A0 are generalized and derived for arbitrary dimension k.
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- Copyright © Applied Probability Trust 1975
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