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arXiv · 1604.02302

Non-parametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets

M. N. M. van Lieshout
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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.

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M. N. M. van Lieshout. 2016-04-08. Non-parametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets. https://arxiv.org/abs/1604.02302

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