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On negative association of some finite point processes on general state spaces. (English) Zbl 1418.60042
Summary: 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 fulfills 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.

60G55 Point processes (e.g., Poisson, Cox, Hawkes processes)
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