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

2018/03/26 by Last Günter, Günter, Last, Szekli Ryszard +1
Mathematics · #60K25 #FOS: Mathematics #Point processes and geometric inequalities #Probability (math.PR) #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.1803.09663

openalex publication_date 2018/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study negative association (NA) for mixed sampled point processes and show that NA holds for such processes if the random number of points of them fulfills ULC property. We connect NA property of point processes with dcx dependence ordering and show some consequences of it for mixed sampled and determinantal point processes. Some applications illustrate general theory.

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