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 -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.

Ämnesord

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Nyckelord

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

Publikations- och innehållstyp

ref (ämneskategori)

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