{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:16:43Z","timestamp":1760239003216,"version":"build-2065373602"},"reference-count":60,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2020,9,18]],"date-time":"2020-09-18T00:00:00Z","timestamp":1600387200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJGI"],"abstract":"<jats:p>Space\u2013time prisms are used to model the uncertainty of space\u2013time locations of moving objects between (for instance, GPS-measured) sample points. However, not all space\u2013time points in a prism are equally likely and we propose a simple, formal model for the so-called \u201cvisit probability\u201d of space\u2013time points within prisms. The proposed mathematical framework is based on a binomial random walk within one- and two-dimensional space\u2013time 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\u2013time prisms corresponds to a hypergeometric distribution.<\/jats:p>","DOI":"10.3390\/ijgi9090555","type":"journal-article","created":{"date-parts":[[2020,9,18]],"date-time":"2020-09-18T10:22:23Z","timestamp":1600424543000},"page":"555","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Visit Probability in Space\u2013Time Prisms Based on Binomial Random Walk"],"prefix":"10.3390","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1298-5970","authenticated-orcid":false,"given":"Deepak","family":"Elias","sequence":"first","affiliation":[{"name":"Databases and Theoretical Computer Science Research Group, Data Science Institute, UHasselt\u2014Hasselt University, Agoralaan, Gebouw D, 3590 Diepenbeek, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5774-0948","authenticated-orcid":false,"given":"Bart","family":"Kuijpers","sequence":"additional","affiliation":[{"name":"Databases and Theoretical Computer Science Research Group, Data Science Institute, UHasselt\u2014Hasselt University, Agoralaan, Gebouw D, 3590 Diepenbeek, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,9,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s10109-007-0057-x","article-title":"A three-dimensional network-based space\u2014Time prism","volume":"10","author":"Neutens","year":"2008","journal-title":"J. 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