50 citations · 71 across the 18 of their papers we have counts for
7 papers · 1 filter
A functional central limit theorem for the K-function with an estimated intensity function
Anne Marie Svane, Christophe Biscio, Rasmus Waagepetersen
The -function is arguably the most important functional summary statistic for spatial point processes. It is used extensively for goodness-of-fit testing and in connection with…
Information criteria for inhomogeneous spatial point processes
Achmad Choiruddin, Jean-François Coeurjolly, Rasmus Waagepetersen
The theoretical foundation for a number of model selection criteria is established in the context of inhomogeneous point processes and under various asymptotic settings: infill, in…
Adaptive estimating function inference for non-stationary determinantal point processes
Frédéric Lavancier, Arnaud Poinas, Rasmus Waagepetersen
Estimating function inference is indispensable for many common point process models where the joint intensities are tractable while the likelihood function is not. In this paper we…
Orthogonal series estimation of the pair correlation function of a spatial point process
Abdollah Jalilian, Yongtao Guan, Rasmus Waagepetersen
The pair correlation function is a fundamental spatial point process characteristic that, given the intensity function, determines second order moments of the point process. Non-pa…
Towards optimal Takacs--Fiksel estimation
Jean-François Coeurjolly, Yongtao Guan, Mahdieh Khanmohammadi +1
The Takacs--Fiksel method is a general approach to estimate the parameters of a spatial Gibbs point process. This method embraces standard procedures such as the pseudolikelihood a…
A tutorial on Palm distributions for spatial point processes
Jean-François Coeurjolly, Jesper Møller, Rasmus Waagepetersen
This tutorial provides an introduction to Palm distributions for spatial point processes. Initially, in the context of finite point processes , we give an explicit definition of Pa…
Palm distributions for log Gaussian Cox processes
Jean-François Coeurjolly, Jesper Møller, Rasmus Waagepetersen
This paper establishes a remarkable result regarding Palmdistributions for a log Gaussian Cox process: the reduced Palmdistribution for a log Gaussian Cox process is itself a log G…