4 papers · 1 filter
Determinantal shot noise Cox processes
Jesper Møller, Ninna Vihrs
We present a new class of cluster point process models, which we call determinantal shot noise Cox processes (DSNCP), with repulsion between cluster centres. They are the special c…
Using neural networks to estimate parameters in spatial point process models
Ninna Vihrs
In this paper, I show how neural networks can be used to simultaneously estimate all unknown parameters in a spatial point process model from an observed point pattern. The method…
Should we condition on the number of points when modelling spatial point patterns?
Jesper Møller, Ninna Vihrs
We discuss the practice of directly or indirectly assuming a model for the number of points when modelling spatial point patterns even though it is rarely possible to validate such…
Approximate Bayesian inference for a spatial point process model exhibiting regularity and random aggregation
Ninna Vihrs, Jesper Møller, Alan E. Gelfand
In this paper, we propose a doubly stochastic spatial point process model with both aggregation and repulsion. This model combines the ideas behind Strauss processes and log Gaussi…