Martin, James S;
Murrell, David J;
Olhede, Sofia C;
(2023)
Multivariate geometric anisotropic Cox processes.
Scandinavian Journal of Statistics
10.1111/sjos.12640.
(In press).
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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.
| Type: | Article |
|---|---|
| Title: | Multivariate geometric anisotropic Cox processes |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1111/sjos.12640 |
| Publisher version: | https://doi.org/10.1111/sjos.12640 |
| Language: | English |
| Additional information: | © 2023 The Authors. Scandinavian Journal of Statistics published by John Wiley & Sons Ltd on behalf of The Board of the Foundation of the Scandinavian Journal of Statistics. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. https://creativecommons.org/licenses/by/4.0/ |
| Keywords: | forest ecology, intractable likelihood, multivariate point processes |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences > Div of Biosciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Life Sciences > Div of Biosciences > Genetics, Evolution and Environment |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10170827 |
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