14 citations · 65 across the 24 of their papers we have counts for
6 papers · 1 filter
Consistency of likelihood estimation for Gibbs point processes
David Dereudre, Frédéric Lavancier
Strong consistency of the maximum likelihood estimator (MLE) for parametric Gibbs point process models is established. The setting is very general. It includes pairwise pair potent…
Variational estimators for the parameters of Gibbs point process models
Adrian Baddeley, David Dereudre
This paper proposes a new estimation technique for fitting parametric Gibbs point process models to a spatial point pattern dataset. The technique is a counterpart, for spatial poi…
Estimation of the intensity parameter of the germ-grain Quermass-interaction model when the number of germs is not observed
David Dereudre, Frédéric Lavancier, Katerina Helisova Stankova
The Quermass-interaction model allows to generalise the classical germ-grain Boolean model in adding a morphological interaction between the grains. It enables to model random stru…
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…
Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction
David Dereudre, Frédéric Lavancier
General models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as extensions of Ord's process, are considered. The interaction may occur on each cell of the tessellati…
Campbell equilibrium equation and pseudo-likelihood estimation for non-hereditary Gibbs point processes
David Dereudre, Frédéric Lavancier
In this paper, we study Gibbs point processes involving a hardcore interaction which is not necessarily hereditary. We first extend the famous Campbell equilibrium equation, initia…