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Multivariate geometric anisotropic Cox processes.

Authors :
Martin, James S.
Murrell, David J.
Olhede, Sofia C.
Source :
Scandinavian Journal of Statistics. Sep2023, Vol. 50 Issue 3, p1420-1465. 46p.
Publication Year :
2023

Abstract

This paper introduces a new modeling and inference framework for multivariate and anisotropic point processes. Building on recent innovations in multivariate spatial statistics, we propose a new family of multivariate anisotropic random fields, and from them a family of anisotropic point processes. We give conditions that make the proposed models valid. We also propose a Palm likelihood‐based inference method for this type of point process, circumventing issues of likelihood tractability. Finally we illustrate the utility of the proposed modeling framework by analyzing spatial ecological observations of plants and trees in the Barro Colorado Island data. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03036898
Volume :
50
Issue :
3
Database :
Academic Search Index
Journal :
Scandinavian Journal of Statistics
Publication Type :
Academic Journal
Accession number :
170008443
Full Text :
https://doi.org/10.1111/sjos.12640