bk inequality
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scholarly journals A BK inequality for randomly drawn subsets of fixed size

2011 ◽  
Vol 154 (3-4) ◽  
pp. 835-844 ◽  
Author(s):  
J. van den Berg ◽  
J. Jonasson
Keyword(s):  
Fixed Size ◽  
Bk Inequality

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

1996 ◽  
Vol 33 (2) ◽  
pp. 420-426 ◽  
Author(s):  
J. van den Berg
Keyword(s):  
Weak Convergence ◽  
Point Processes ◽  
Poisson Point Processes ◽  
Bk Inequality

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.

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

1996 ◽  
Vol 33 (02) ◽  
pp. 420-426 ◽  
Author(s):  
J. van den Berg
Keyword(s):  
Weak Convergence ◽  
Point Processes ◽  
Poisson Point Processes ◽  
Bk Inequality

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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