Normal approximation for associated point processes via Stein's method with applications to determinantal point processes

Journal article

Authors/Editors

TODSAPORN THONGTHIENG

Strategic Research Themes

No matching items found.

Publication Details

Author list: Wiroonsri N.

Publisher: Elsevier

Publication year: 2019

Journal: Journal of Mathematical Analysis and Applications (0022-247X)

Volume number: 480

Issue number: 1

ISSN: 0022-247X

eISSN: 1096-0813

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85070228280&doi=10.1016%2fj.jmaa.2019.123396&partnerID=40&md5=5c24e01cdae85ef27b249893d3fe6d43

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

We use Stein's method to provide non asymptotic L1 bounds (also known as Wasserstein bounds) to the normal for functionals of associated point processes. As for supporting tools, we use the connection between association and α-mixing properties that was recently uncovered by [29]. We apply our main results to determinantal point processes which are known to be negatively associated. A potential application to determinantal point processes in the Laguerre-Gaussian family is also presented. © 2019 Elsevier Inc.

Keywords

Association, Laguerre-Gaussian, Point processes, α-mixing