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Faà di Bruno’s formula and spatial cluster modelling
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Clark, Daniel E. and Houssineau, Jeremie (2013) Faà di Bruno’s formula and spatial cluster modelling. Spatial Statistics, 6 . pp. 109-117. doi:10.1016/j.spasta.2013.09.002 ISSN 22116753.
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Official URL: http://dx.doi.org/10.1016/j.spasta.2013.09.002
Abstract
The probability generating functional (p.g.fl.) provides a useful means of compactly representing point process models. Cluster processes can be described through the composition of p.g.fl.s, and factorial moment measures and Janossy measures can be recovered from the p.g.fl. using variational derivatives. This article describes the application of a recent result in variational calculus, a generalisation of Faà di Bruno’s formula, to determine such results for cluster processes.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Spatial Statistics | ||||
Publisher: | Elsevier B.V. | ||||
ISSN: | 22116753 | ||||
Official Date: | November 2013 | ||||
Dates: |
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Volume: | 6 | ||||
Page Range: | pp. 109-117 | ||||
DOI: | 10.1016/j.spasta.2013.09.002 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) |
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