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

@article{Lieshout2016NonparametricIO,
  title={Non-parametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets},
  author={M.N.M. van Lieshout},
  journal={arXiv: Statistics Theory},
  year={2016},
  pages={985-1015}
}
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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