50 citations · 71 across the 18 of their papers we have counts for
23 papers
A covariance density for a point process and a random field
Markus Frederik Palmelund, Ib Thorsgaard Jensen, Rasmus Waagepetersen
The spatial point process literature offers a well-developed theory for characterizing covariances within a point process or between different point processes using joint intensity…
-functions for point processes on complex surfaces
Francisco Cuevas-Pacheco, Scott Ward, Ed Cohen +1
The -function is a fundamental summary statistic for assessing clustering or regularity of point processes in two or three dimensional Euclidean space. In practice, however, man…
Semi-parametric Markov models for multi-type point patterns
Ib Thorsgaard Jensen, Jean-François Coeurjolly, Rasmus Waagepetersen
Multi-type Markov point processes offer a flexible framework for modelling complex multi-type point patterns where it is pertinent to capture both interactions between points as we…
Critical Point Processes Obtained from a Gaussian Random Field with a View Towards Statistics
Julien Chevallier, Jean-François Coeurjolly, Rasmus Waagepetersen
This paper establishes the theoretical foundation for statistical applications of an intriguing new type of spatial point processes called critical point processes. These point pro…
Composite likelihood inference for space-time point processes
Abdollah Jalilian, Francisco Cuevas-Pacheco, Ganggang Xu +1
The dynamics of a rain forest is extremely complex involving births, deaths and growth of trees with complex interactions between trees, animals, climate, and environment. We consi…
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…
A central limit theorem for a sequence of conditionally centered random fields
Abdollah Jalilian, Arnaud Poinas, Ganggang Xu +1
A central limit theorem is established for a sum of random variables belonging to a sequence of random fields. The fields are assumed to have zero mean conditional on the past hist…
A -function for inhomogeneous random measures with geometric features
Anne Marie Svane, Hans Jacob Teglbjærg Stephensen, Rasmus Waagepetersen
This paper introduces a -function for assessing second-order properties of inhomogeneous random measures generated by marked point processes. The marks can be geometric objects…
Currents and K-functions for Fiber Point Processes
Pernille EH. Hansen, Rasmus Waagepetersen, Anne Marie Svane +4
Analysis of images of sets of fibers such as myelin sheaths or skeletal muscles must account for both the spatial distribution of fibers and differences in fiber shape. This necess…
Second order semi-parametric inference for multivariate log Gaussian Cox processes
Kristian Bjørn Hessellund, Ganggang Xu, Yongtao Guan +1
This paper introduces a new approach to inferring the second order properties of a multivariate log Gaussian Cox process (LGCP) with a complex intensity function. We assume a semi-…
Globally intensity-reweighted estimators for - and pair correlation functions
Thomas Shaw, Jesper Møller, Rasmus Waagepetersen
We introduce new estimators of the inhomogeneous -function and the pair correlation function of a spatial point process as well as the cross -function and the cross pair corr…
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…
Regularized estimation for highly multivariate log Gaussian Cox processes
Achmad Choiruddin, Francisco Cuevas-Pacheco, Jean-François Coeurjolly +1
Statistical inference for highly multivariate point pattern data is challenging due to complex models with large numbers of parameters. In this paper, we develop numerically stable…
Second-order variational equations for spatial point processes with a view to pair correlation function estimation
Jean-François Coeurjolly, Francisco Cuevas-Pacheco, Rasmus Waagepetersen
Second-order variational type equations for spatial point processes are established. In case of log linear parametric models for pair correlation functions, it is demonstrated that…
Generalizations of Ripley's K-function with Application to Space Curves
Jon Sporring, Rasmus Waagepetersen, Stefan Sommer
The intensity function and Ripley's K-function have been used extensively in the literature to describe the first and second moment structure of spatial point sets. This has many a…
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…
Some recent developments in statistics for spatial point patterns
Jesper Møller, Rasmus Waagepetersen
This paper reviews developments in statistics for spatial point processes obtained within roughly the last decade. These developments include new classes of spatial point process m…
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…
Quasi-likelihood for Spatial Point Processes
Yongtao Guan, Abdollah Jalilian, Rasmus Waagepetersen
Fitting regression models for intensity functions of spatial point processes is of great interest in ecological and epidemiological studies of association between spatially referen…
Reproducible probe-level analysis of the Affymetrix Exon 1.0 ST array with R/Bioconductor
Maria Rodrigo-Domingo, Rasmus Waagepetersen, Julie Støve Bødker +5
The presence of different transcripts of a gene across samples can be analysed by whole-transcriptome microarrays. Reproducing results from published microarray data represents a c…