2 citations · 3 across the 4 of their papers we have counts for
5 papers
Visualizing the Wavenumber Content of a Point Pattern
Jake P. Grainger, Tuomas A. Rajala, David J. Murrell +1
Spatial point patterns are a commonly recorded form of data in ecology, medicine, astronomy, criminology, epidemiology and many other application fields. One way to understand thei…
What is the Fourier Transform of a Spatial Point Process?
Tuomas A. Rajala, Sofia C. Olhede, Jake P. Grainger +1
This paper determines how to define a discretely implemented Fourier transform when analysing an observed spatial point process. To develop this transform we answer four questions;…
Multivariate Geometric Anisotropic Cox Processes
James S. Martin, David J. Murrell, Sofia C. Olhede
This paper introduces a new modelling framework for multivariate anisotropic Cox processes. Building on recent innovations in multivariate spatial statistics, we propose a new fami…
When do we have the power to detect biological interactions in spatial point patterns?
T. Rajala, S. Olhede, D. J. Murrell
Determining the relative importance of environmental factors, biotic interactions and stochasticity in assembling and maintaining species-rich communities remains a major challenge…
Detecting multivariate interactions in spatial point patterns with Gibbs models and variable selection
Tuomas Rajala, David Murrell, Sofia Olhede
We propose a method for detecting significant interactions in very large multivariate spatial point patterns. This methodology develops high dimensional data understanding in the p…