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A note on disjoint-occurrence inequalities for marked Poisson point processes
Part of
J. van den Berg
Journal:

Journal of Applied Probability / Volume 33 / Issue 2 / September 1996

Published online by Cambridge University Press:

14 July 2016, pp. 420-426

Print publication:

September 1996
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For (marked) Poisson point processes we give, for increasing events, a new proof of the analog of the BK inequality. In contrast to other proofs, which use weak-convergence arguments, our proof is ‘direct' and requires no extra topological conditions on the events. Apart from some well-known properties of Poisson point processes, the proof is self-contained.

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A note on disjoint-occurrence inequalities for marked Poisson point processes