A tutorial on Palm distributions for spatial point processes

Jean-Francois Coeurjolly, Jesper Møller, Rasmus Plenge Waagepetersen

Research output: Contribution to journalJournal articleResearchpeer-review

8 Citations (Scopus)

Abstract

This tutorial provides an introduction to Palm distributions for spatial point processes. Initially, in the context of finite point processes, we give an explicit definition of Palm distributions in terms of their density functions. Then we review Palm distributions in the general case. Finally, we discuss some examples of Palm distributions for specific models and some applications.
Original languageEnglish
JournalInternational Statistical Review
Volume85
Issue number3
Pages (from-to)404-420
Number of pages17
ISSN0306-7734
DOIs
Publication statusPublished - Dec 2017

Fingerprint

Palm Distribution
Spatial Point Process
Point Process
Density Function
Point process
Tutorial

Keywords

  • Cox process
  • determinantal process
  • Gibbs process
  • joint intensities
  • log Gaussian Cox process
  • Palm likelihood
  • reduced Palm distribution
  • shot-noise Cox process
  • summary statistics

Cite this

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title = "A tutorial on Palm distributions for spatial point processes",
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keywords = "Cox process, determinantal process, Gibbs process, joint intensities, log Gaussian Cox process, Palm likelihood, reduced Palm distribution, shot-noise Cox process, summary statistics",
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A tutorial on Palm distributions for spatial point processes. / Coeurjolly, Jean-Francois; Møller, Jesper; Waagepetersen, Rasmus Plenge.

In: International Statistical Review, Vol. 85, No. 3, 12.2017, p. 404-420.

Research output: Contribution to journalJournal articleResearchpeer-review

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KW - Cox process

KW - determinantal process

KW - Gibbs process

KW - joint intensities

KW - log Gaussian Cox process

KW - Palm likelihood

KW - reduced Palm distribution

KW - shot-noise Cox process

KW - summary statistics

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