Please use this identifier to cite or link to this item:
Publisher DOI: 10.1016/
Title: Criteria for Poisson process convergence with applications to inhomogeneous Poisson–Voronoi tessellations
Language: English
Authors: Pianoforte, Federico 
Schulte, Matthias 
Keywords: Boolean model; Extremes; Inhomogeneous Poisson–Voronoi tessellation; Local dependence; Poisson process convergence; Stochastic geometry
Issue Date: 7-Feb-2022
Publisher: Elsevier
Source: Stochastic Processes and their Applications 147: 388-422 (2022-05-01)
Abstract (english): 
This article employs the relation between probabilities of two consecutive values of a Poisson random variable to derive conditions for the weak convergence of point processes to a Poisson process. As applications, we consider the starting points of k-runs in a sequence of Bernoulli random variables, point processes constructed using inradii and circumscribed radii of inhomogeneous Poisson–Voronoi tessellations and large nearest neighbor distances in a Boolean model of disks.
DOI: 10.15480/882.4198
ISSN: 0304-4149
Journal: Stochastic processes and their applications 
Institute: Mathematik E-10 
Document Type: Article
License: CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives) CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
Appears in Collections:Publications with fulltext

Files in This Item:
File Description SizeFormat
1-s2.0-S0304414922000345-main.pdfVerlags-PDF1,71 MBAdobe PDFView/Open
Show full item record

Page view(s)

Last Week
Last month
checked on Sep 26, 2022


checked on Sep 26, 2022

Google ScholarTM


Note about this record

Cite this record


This item is licensed under a Creative Commons License Creative Commons