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On negative association of some finite point processes on general state spaces

  • Günter Last (a1) and Ryszard Szekli (a2)

Abstract

We study negative association for mixed sampled point processes and show that negative association holds for such processes if a random number of their points fulfils the ultra log-concave (ULC) property. We connect the negative association property of point processes with directionally convex dependence ordering, and show some consequences of this property for mixed sampled and determinantal point processes. Some applications illustrate the general theory.

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Corresponding author

*Postal address: Department of Mathematics, Karlsruhe Institute of Technology, Englerstr. 2, D-76131, Karlsruhe, Germany.
**Postal address: University of Wrocław, Mathematical Institute, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland. Email address: ryszard.szekli@uwr.edu.pl

References

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