Skip navigation
Skip navigation

Ratios of ordered points of point processes with regularly varying intensity measures

Ipsen, Yuguang; Maller, Ross; Resnick, Sidney I.


We study limiting properties of ratios of ordered points of point processes whose intensity measures have regularly varying tails, giving a systematic treatment which points the way to “large-trimming” properties of extremal processes and a variety of applications. Our point process approach facilitates a connection with the negative binomial process of Gregoire (1984) and consequently to certain generalised versions of the Poisson–Dirichlet distribution.

CollectionsANU Research Publications
Date published: 2019
Type: Journal article
Source: Stochastic Processes and their Applications
DOI: 10.1016/


File Description SizeFormat Image
01_Ipsen_Ratios_of_ordered_points_of_2019.pdf381.37 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator