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A J-function for In...
A J-function for Inhomogeneous Spatio-temporal Point Processes
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- Cronie, Ottmar, 1979- (författare)
- CWI, Amsterdam, The Netherlands,Göteborgs universitet,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- van Lieshout, M N M (författare)
- CWI, Amsterdam, The Netherlands,Stichting Centrum voor Wiskunde & Informatica (CWI)
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(creator_code:org_t)
- 2014-10-07
- 2015
- Engelska.
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Ingår i: Scandinavian Journal of Statistics. - : John Wiley & Sons. - 0303-6898 .- 1467-9469. ; 42:2, s. 562-579
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Abstract
Ämnesord
Stäng
- We propose a new summary statistic for inhomogeneous intensity-reweighted moment stationarity spatio-temporal point processes. The statistic is defined in terms of the n-point correlation functions of the point process, and it generalizes the J-function when stationarity is assumed. We show that our statistic can be represented in terms of the generating functional and that it is related to the spatio-temporal K-function. We further discuss its explicit form under some specific model assumptions and derive ratio-unbiased estimators. We finally illustrate the use of our statistic in practice.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- inhomogeneous spatio-temporal point process
- intensity-reweighted moment stationarity
- J-function
- K-function
- location-dependent thinning of hard core model
- log-Gaussian Cox process
- n-point correlation function
- Papangelou conditional intensity
- Poisson process
- (reduced Palm measure) generating functional
- Mathematical Statistics
- matematisk statistik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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