Non-parametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets
Statistics Theory
2016-08-08 v2 Statistics Theory
Abstract
We propose new summary statistics to quantify the association between the components in coverage-reweighted moment stationary multivariate random sets and measures. They are defined in terms of the coverage-reweighted cumulant densities and extend classic functional statistics for stationary random closed sets. We study the relations between these statistics and evaluate them explicitly for a range of models. Unbiased estimators are given for all statistics and applied to simulated examples.
Keywords
Cite
@article{arxiv.1604.02302,
title = {Non-parametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets},
author = {M. N. M. van Lieshout},
journal= {arXiv preprint arXiv:1604.02302},
year = {2016}
}
Comments
Added examples in version 2