Summary statistics for inhomogeneous marked point processes
2016 (English)In: Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, E-ISSN 1572-9052, Vol. 68, no 4, 905-928 p.Article in journal (Refereed) PublishedText
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 -point correlation functions and reduce to cross - and -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.
Place, publisher, year, edition, pages
2016. Vol. 68, no 4, 905-928 p.
Generating functional, Intensity-reweighted moment stationarity, J-function, Marked point process, ltivariate point process, Nearest neighbour distance distribution function, n-point correlation nction, Reduced Palm measure
Probability Theory and Statistics
IdentifiersURN: urn:nbn:se:umu:diva-124314DOI: 10.1007/s10463-015-0515-zISI: 000379513000009OAI: oai:DiVA.org:umu-124314DiVA: diva2:958144