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

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
72 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)985-1015
Number of pages31
JournalScandinavian journal of statistics
Volume45
Issue number4
DOIs
Publication statusPublished - 8 Mar 2018

Keywords

  • UT-Hybrid-D
  • Coverage-reweighted moment stationarity
  • Cross hitting functional
  • Empty space function
  • J-function,
  • K-function,
  • Moment measure
  • Reduced cross correlation measure
  • Spherical contact distribution
  • Bivariate random measure

Fingerprint Dive into the research topics of 'Nonparametric indices of dependence between components for inhomogeneous multivariate random measures and marked sets'. Together they form a unique fingerprint.

Cite this