A J-function for inhomogeneous point processes
By M. V. Lieshout. 2010
77 citations recorded by the source corpus.
We propose new summary statistics for intensity-reweighted moment stationary point processes, that is, point processes with translation invariant n-point correlation functions for all n ∈ N, that generalise the well known J-, empty space, and spherical Palm contact distribution functions. We represent these statistics in terms of generating functionals and relate the inhomogeneous J-function to the inhomogeneous reduced second moment function. Extensions to space time and marked point processes are briefly discussed.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/eecce31f6d490a2ab69b211e1a24fb7ae5295377
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions (2018, methodology): “VAN LIESHOUT emphasize that ∩ W almost surely contains finitely many points, since W is bounded. The convention that Tκ(h; , W ) ≡ (W ) when ∩ W = ∅ is simply a way of saying that if nothing is observed, there is nothing to estimate, so we always estimate correctly. As an aside, the Campbell–Mecke f”