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A PROBABILISTIC INTERPRETATION OF THE GAUSSIAN BINOMIAL COEFFICIENTS
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
Xian Jiaotong Liverpool Univ, Dept Math Sci, 111 Renai Rd, Suzhou 215123, Peoples R China..
2017 (English)In: Journal of Applied Probability, ISSN 0021-9002, E-ISSN 1475-6072, Vol. 54, no 4, p. 1295-1298Article in journal (Refereed) Published
Abstract [en]

We present a stand-alone simple proof of a probabilistic interpretation of the Gaussian binomial coefficients by conditioning a random walk to hit a given lattice point at a given time.
Place, publisher, year, edition, pages
CAMBRIDGE UNIV PRESS , 2017. Vol. 54, no 4, p. 1295-1298
Keywords [en]
Gaussian binomial coefficient, q-binomial, random walk
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-345120DOI: 10.1017/jpr.2017.64ISI: 000423299800017OAI: oai:DiVA.org:uu-345120DiVA, id: diva2:1188789
Funder
Swedish Research Council, 2013-4688Available from: 2018-03-08 Created: 2018-03-08 Last updated: 2018-03-08Bibliographically approved

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