Functional summary statistics and testing for independence in multi-type point processes on the surface of three dimensional convex shapes
File(s)
Published version (pre-proof)
Author(s)
Ward, Scott
Cohen, Edward
Adams, Niall
Type
Journal Article
Abstract
The fundamental functional summary statistics used for studying spatial point patterns are developed for marked homogeneous and inhomogeneous point processes on the surface of a sphere. These are extended to point processes on the surface of three dimensional convex shapes given the bijective mapping from the shape to the sphere is known. These functional summary statistics are used to test for independence between the marginals of multi-type spatial point processes with methods for sampling the null distribution developed and discussed. This is illustrated on both simulated data and the RNGC galaxy point pattern, revealing attractive dependencies between different galaxy types.
Date Issued
2025-03-13
Date Acceptance
2025-02-27
Citation
Spatial Statistics, 2025
ISSN
2211-6753
Publisher
Elsevier
Journal / Book Title
Spatial Statistics
Copyright Statement
© 2025 Published by Elsevier B.V.
License URL
Identifier
10.1016/j.spasta.2025.100891
Subjects
Spatial Statistics Spatial point pattern
convex shape
functional summary statistics
marked point process
Publication Status
Published online
Article Number
100891
Date Publish Online
2025-03-13