Summary statistics for inhomogeneous marked point processes
Methodology
2014-07-14 v1
Abstract
We propose new summary statistics for intensity-reweighted moment stationary marked point processes with particular emphasis on discrete marks. The new statistics are based on the n-point correlation functions and reduce to cross J- and D-functions when stationarity holds. We explore the relationships between the various functions and discuss their explicit forms under specific model assumptions. We derive ratio-unbiased minus sampling estimators for our statistics and illustrate their use on a data set of wildfires.
Keywords
Cite
@article{arxiv.1407.3089,
title = {Summary statistics for inhomogeneous marked point processes},
author = {O. Cronie and M. N. M. van Lieshout},
journal= {arXiv preprint arXiv:1407.3089},
year = {2014}
}