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Nonparametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets

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  • M. N. M. van Lieshout

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 and to tropical rain forest data.

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  • M. N. M. van Lieshout, 2018. "Nonparametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 45(4), pages 985-1015, December.
    • Handle: RePEc:bla:scjsta:v:45:y:2018:i:4:p:985-1015
    DOI: 10.1111/sjos.12331
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