Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7496705 | Spatial Statistics | 2013 | 9 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Earth and Planetary Sciences (General)
Authors
Daniel E. Clark, Jeremie Houssineau,