Log Gaussian Cox processes on the sphere

Research output: Book/ReportReportResearch

Abstract

We define and study the existence of log Gaussian Cox processes (LGCPs)
for the description of inhomogeneous and aggregated/clustered point patterns
on the d-dimensional sphere, with d = 2 of primary interest. Useful theoretical
properties of LGCPs are studied and applied for the description of sky
positions of galaxies, in comparison with previous analysis using a Thomas
process. We focus on simple estimation procedures and model checking based
on functional summary statistics and the global envelope test.
Original languageEnglish
PublisherCSGB, Institut for Matematik, Aarhus Universitet
Number of pages14
Publication statusPublished - 2018
SeriesCSGB Research Report
Number4
Volume2018

Fingerprint

Cox Process
Gaussian Process
Galaxies
Model Checking
Envelope
Statistics

Keywords

  • Hölder continuity
  • minimum contrast estimation
  • model checking
  • point processes on the sphere
  • reduced Palm distribution
  • second order intensity reweighted homogeneity

Cite this

Pacheco, F. A. C., & Møller, J. (2018). Log Gaussian Cox processes on the sphere. CSGB, Institut for Matematik, Aarhus Universitet. CSGB Research Report, No. 4, Vol.. 2018
Pacheco, Francisco Andrés Cuevas ; Møller, Jesper. / Log Gaussian Cox processes on the sphere. CSGB, Institut for Matematik, Aarhus Universitet, 2018. 14 p. (CSGB Research Report; No. 4, Vol. 2018).
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Pacheco, FAC & Møller, J 2018, Log Gaussian Cox processes on the sphere. CSGB Research Report, no. 4, vol. 2018, CSGB, Institut for Matematik, Aarhus Universitet.

Log Gaussian Cox processes on the sphere. / Pacheco, Francisco Andrés Cuevas; Møller, Jesper.

CSGB, Institut for Matematik, Aarhus Universitet, 2018. 14 p.

Research output: Book/ReportReportResearch

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KW - reduced Palm distribution

KW - second order intensity reweighted homogeneity

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Pacheco FAC, Møller J. Log Gaussian Cox processes on the sphere. CSGB, Institut for Matematik, Aarhus Universitet, 2018. 14 p. (CSGB Research Report; No. 4, Vol. 2018).