2014-07-01
Summary statistics for inhomogeneous marked point processes
Publication
Publication
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-point correlation functions and reduce to
cross
J- and 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.
Additional Metadata | |
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Point processes (msc 60G55) | |
Logistics (theme 3), Life Sciences (theme 5) | |
Organisation | Stochastics |
Cronie, O.J.A, & van Lieshout, M.N.M. (2014). Summary statistics for inhomogeneous marked point processes.
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