The law of thin processes: a law of large numbers for point processes

Abstract

If you take a superposition of n IID copies of a point process and thin that by a factor of 1/n, then the resulting process tends to a Poisson point process as n tends to infinity. We give a simple proof of this result that highlights its similarity to the law of large numbers and to the law of thin numbers of Harremoës et al.

arXiv comment6 pages

References in corpus (1)

• Thinning, Entropy and the Law of Thin Numbers

Cited by in corpus (1)

• A law of thin processes with neighbour-count thinning