Absolute regularity and Brillinger-mixing of stationary point processes

DOI10.1007/s10986-013-9209-5zbMath1291.60100OpenAlexW1967441220MaRDI QIDQ383672

Lothar Heinrich, Zbyněk Pawlas

Publication date: 5 December 2013

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/files/2207/mpreprint_13_002.pdf

zbMATH Keywords

point process\(\beta\)-mixing coefficientBrillinger-mixingfactorial cumulant measurehigher-order covariance measure

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Ergodicity, mixing, rates of mixing (37A25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (7)

Second-order characteristics of the edge system of random tessellations and the PPI value of foams ⋮ Central limit theorems for empirical product densities of stationary point processes ⋮ Variance asymptotics for the area of planar cylinder processes generated by Brillinger-mixing point processes ⋮ A bound of the \(\beta\)-mixing coefficient for point processes in terms of their intensity functions ⋮ Spectral estimation of Hawkes processes from count data ⋮ The β-mixing rate of STIT tessellations ⋮ Brillinger mixing of determinantal point processes and statistical applications

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