Summary statistics for inhomogeneous marked point processes

We propose new summary statistics for intensity-reweighted moment stationary marked point processes with particular emphasis on discrete marks. The new statistics are based on the $$n$$n-point correlation functions and reduce to cross $$J$$J- and $$D$$D-functions when stationarity holds. We explore the relationships between the various functions and discuss their explicit forms under specific model assumptions. We derive ratio-unbiased minus sampling estimators for our statistics and illustrate their use on a data set of wildfires.

• Publication year

  2014

• Venue

  Annals of the Institute of Statistical Mathematics

• Publication date

  2014-07-11

• Fields of study

  Mathematics, Environmental Science

• Identifiers
  DOI 10.1007/S10463-015-0515-ZarXiv 1407.3089
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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