A note on disjoint-occurrence inequalities for marked Poisson point processes
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.
1996 ◽
Vol 33
(02)
◽
pp. 420-426
◽
Keyword(s):
1986 ◽
Vol 18
(01)
◽
pp. 66-138
◽
Keyword(s):
2013 ◽
pp. 23-34
Keyword(s):
2015 ◽
Vol 61
(8)
◽
pp. 4475-4485
◽