12 papers
-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…
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…