Mixing properties and central limit theorem for associated point processes

DOI10.3150/18-BEJ1033zbMath1466.60101arXiv1705.02276OpenAlexW2962976699MaRDI QIDQ2419655

Bernard Delyon, Arnaud Poinas, Frédéric Lavancier

Publication date: 14 June 2019

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02276

zbMATH Keywords

strong mixingnegative associationdeterminantal point processpositive associationparametric estimation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (9)

Stationary determinantal processes: \(\psi\)-mixing property and correlation dimensions ⋮ Normal approximation for fire incident simulation using permanental Cox processes ⋮ Statistical inference on stationary shot noise random fields ⋮ Some remarks on associated random fields, random measures and point processes ⋮ Spectral estimation of Hawkes processes from count data ⋮ On negative association of some finite point processes on general state spaces ⋮ Normal approximation for associated point processes via Stein's method with applications to determinantal point processes ⋮ Determinantal Point Processes for Image Processing ⋮ Continuum line-of-sight percolation on Poisson–Voronoi tessellations

Uses Software

• spatstat

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