3 papers
stat.ME2026
-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…
stat.ME2024
Functional summary statistics and testing for independence in marked point processes on the surface of three dimensional convex shapes
Scott Ward, Edward A. K. Cohen, Niall M. Adams
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 sp…
math.ST2020
Testing for complete spatial randomness on three dimensional bounded convex shapes
Scott Ward, Edward A. K. Cohen, Niall Adams
There is currently a gap in theory for point patterns that lie on the surface of objects, with researchers focusing on patterns that lie in a Euclidean space, typically planar and…