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Spatio-temporal poi...
Spatio-temporal point patterns on linear networks: Pseudo-separable intensity estimation
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- Mateu, Jorge (författare)
- University Jaume I, Castellon, Spain,Department of Mathematics,Universitat Jaume I De Castellon
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- Moradi, Mohammad Mehdi (författare)
- Public University of Navarre, Pamplona, Spain,Department of Statistics, Computer Science and Mathematics,Universidad Publica de Navarra
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- Cronie, Ottmar (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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(creator_code:org_t)
- Elsevier, 2020
- 2020
- Engelska.
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Ingår i: Spatial Statistics. - : Elsevier. - 2211-6753. ; 37
- Relaterad länk:
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Aside from reviewing different intensity estimation schemes for point processes on linear networks, this paper introduces two Voronoi-based intensity estimation approaches for spatio-temporal linear network point processes. The first is a separable estimator, which is obtained as a scaled product of a resample-smoothed Voronoi intensity estimator on the linear network in question and another one on the time domain. The second one, which we refer to as a pseudo-separable resample-smoothed Voronoi intensity estimator, uses a slightly different thinning strategy. Through a simulation study we show that the latter performs slightly better than the former. We finally apply the latter estimator to a spatio-temporal traffic accident point pattern.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Intensity estimation
- Linear network
- Pseudo-separability
- Resample-smoothing
- Spatio-temporal point process
- Voronoi estimator
- matematisk statistik
- Mathematical Statistics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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