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

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Date

2019

Authors

Ipsen, Yuguang
Maller, Ross
Resnick, Sidney I.

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

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.

Description

Keywords

Regular variation, Poisson points, Lévy process, Negative binomial, Trimming, Order statistics

Citation

URI

http://hdl.handle.net/1885/220003

Collections

ANU Research Publications

Source

Stochastic Processes and their Applications

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1016/j.spa.2018.02.015

Restricted until

2099-12-31

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01_Ipsen_Ratios_of_ordered_points_of_2019.pdf (381.37 KB)

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