CMStatistics 2022: Start Registration
View Submission - CMStatistics
Title: Statistical analysis of point patterns on linear networks Authors:  Jesper Moeller - Aalborg University (Denmark) [presenting]
Abstract: A point process is a mathematical model for randomly distributed point patterns in a given space. While the mathematical and statistical theory for point processes on one, two, or higher dimensional Euclidean space is fairly well-developed with accompanying user-friendly software for statistical analysis, notably the R package spatstat, the research on point processes defined on more general spaces such as spheres and linear networks is in its infancy. A state-of-the-art review of statistical models, simulation procedures, and methods for estimation and model checking when analysing point patterns observed on linear networks, e.g. crime cases observed on a street network or spine positions on a dendrite network.