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Article

Visit Probability in Space–Time Prisms Based on Binomial Random Walk

Databases and Theoretical Computer Science Research Group, Data Science Institute, UHasselt—Hasselt University, Agoralaan, Gebouw D, 3590 Diepenbeek, Belgium
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ISPRS Int. J. Geo-Inf. 2020, 9(9), 555; https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9090555
Received: 15 July 2020 / Revised: 28 August 2020 / Accepted: 13 September 2020 / Published: 18 September 2020
(This article belongs to the Special Issue Human Dynamics Research in the Age of Smart and Intelligent Systems)
Space–time prisms are used to model the uncertainty of space–time locations of moving objects between (for instance, GPS-measured) sample points. However, not all space–time points in a prism are equally likely and we propose a simple, formal model for the so-called “visit probability” of space–time points within prisms. The proposed mathematical framework is based on a binomial random walk within one- and two-dimensional space–time prisms. Without making any assumptions on the random walks (we do not impose any distribution nor introduce any bias towards the second anchor point), we arrive at the conclusion that binomial random walk-based visit probability in space–time prisms corresponds to a hypergeometric distribution. View Full-Text
Keywords: geographic information science; time geography; space–time prisms; random walk; uncertainty; probability; visit probability; binomial distribution; hypergeometric distribution geographic information science; time geography; space–time prisms; random walk; uncertainty; probability; visit probability; binomial distribution; hypergeometric distribution
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MDPI and ACS Style

Elias, D.; Kuijpers, B. Visit Probability in Space–Time Prisms Based on Binomial Random Walk. ISPRS Int. J. Geo-Inf. 2020, 9, 555. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9090555

AMA Style

Elias D, Kuijpers B. Visit Probability in Space–Time Prisms Based on Binomial Random Walk. ISPRS International Journal of Geo-Information. 2020; 9(9):555. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9090555

Chicago/Turabian Style

Elias, Deepak, and Bart Kuijpers. 2020. "Visit Probability in Space–Time Prisms Based on Binomial Random Walk" ISPRS International Journal of Geo-Information 9, no. 9: 555. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9090555

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