29 citations · 71 across the 9 of their papers we have counts for
3 papers · 1 filter
Asymptotic properties of the maximum pseudo-likelihood estimator for stationary Gibbs point processes including the Lennard-Jones model
Jean-François Coeurjolly, Rémy Drouilhet
This paper presents asymptotic properties of the maximum pseudo-likelihood estimator of a vector $\Vectθ$ parameterizing a stationary Gibbs point process. Sufficient conditions, ex…
Takacs Fiksel method for stationary marked Gibbs point processes
Jean-François Coeurjolly, David Dereudre, Rémy Drouilhet +1
This paper studies a method to estimate the parameters governing the distribution of a stationary marked Gibbs point process. This procedure, known as the Takacs-Fiksel method, is…
Existence of Gibbsian point processes with geometry-dependent interactions
David Dereudre, Remy Drouilhet, Hans-Otto Georgii
We establish the existence of stationary Gibbsian point processes for interactions that act on hyperedges between the points. For example, such interactions can depend on Delaunay…