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A non-random limit for the volume covered k times
A. J. Stam
Journal:

Journal of Applied Probability / Volume 18 / Issue 1 / March 1981

Published online by Cambridge University Press:

14 July 2016, pp. 148-156

Print publication:

March 1981
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Let n sets with volume ~ n-–1 be placed in Rm, independently and with the same distribution. As n →∞, the volume in V CRm, covered by exactly k of these sets under certain conditions converges to a non-random limit, which is the integral over V of a density that is of the type of a Poisson probability.

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A non-random limit for the volume covered k times