On negative association of some finite point processes on general state spaces. (March 2019)

• Record Type: Journal Article
• Authors: Last, Günter; Szekli, Ryszard
• Is Part Of: Journal of applied probability. Volume 56:Number 1(2019)
• Page Start: 139
• Page End: 152
• Publication Date: 2019-03
• Subjects: Finite point process, -- mixed sampled point process, -- negative association, -- strong Rayleigh measure, -- ULC; Primary 60K25, -- Secondary 60J25; 519.2
• DOI: 10.1017/jpr.2019.10
• Languages: English
• ISSNs: 0021-9002

Abstract

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.