The pair correlation function of spatial Hawkes processes

Jesper Møller, Giovanni Luca Torrisi

Research output: Contribution to journalJournal articleResearchpeer-review

8 Citations (Scopus)

Abstract

Spatial Hawkes processes can be considered as spatial versions of classical Hawkes processes. We derive the pair correlation function of stationary spatial Hawkes processes and discuss the connection to the Bartlett spectrum and other summary statistics. Particularly, results for Gaussian fertility rates and the extension to spatial Hawkes processes with random fertility rates are discussed.
Original languageEnglish
JournalStatistics & Probability Letters
Volume77
Issue number10
Pages (from-to)995-1003
Number of pages9
ISSN0167-7152
DOIs
Publication statusPublished - 2007

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Spatial Process
Pair Correlation Function
Fertility
Stationary Process
Statistics
Fertility rate

Cite this

Møller, Jesper ; Torrisi, Giovanni Luca. / The pair correlation function of spatial Hawkes processes. In: Statistics & Probability Letters. 2007 ; Vol. 77, No. 10. pp. 995-1003.
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The pair correlation function of spatial Hawkes processes. / Møller, Jesper; Torrisi, Giovanni Luca.

In: Statistics & Probability Letters, Vol. 77, No. 10, 2007, p. 995-1003.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - The pair correlation function of spatial Hawkes processes

AU - Møller, Jesper

AU - Torrisi, Giovanni Luca

PY - 2007

Y1 - 2007

N2 - Spatial Hawkes processes can be considered as spatial versions of classical Hawkes processes. We derive the pair correlation function of stationary spatial Hawkes processes and discuss the connection to the Bartlett spectrum and other summary statistics. Particularly, results for Gaussian fertility rates and the extension to spatial Hawkes processes with random fertility rates are discussed.

AB - Spatial Hawkes processes can be considered as spatial versions of classical Hawkes processes. We derive the pair correlation function of stationary spatial Hawkes processes and discuss the connection to the Bartlett spectrum and other summary statistics. Particularly, results for Gaussian fertility rates and the extension to spatial Hawkes processes with random fertility rates are discussed.

U2 - 10.1016/j.spl.2007.01.007

DO - 10.1016/j.spl.2007.01.007

M3 - Journal article

VL - 77

SP - 995

EP - 1003

JO - Statistics & Probability Letters

JF - Statistics & Probability Letters

SN - 0167-7152

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ER -