A PROBABILISTIC INTERPRETATION OF THE GAUSSIAN BINOMIAL COEFFICIENTS

Konstantopoulos, Takis and Yuan, Linglong ORCID: 0000-0002-7851-1631 (2017) A PROBABILISTIC INTERPRETATION OF THE GAUSSIAN BINOMIAL COEFFICIENTS. JOURNAL OF APPLIED PROBABILITY, 54 (4). pp. 1295-1298.

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Official URL: http://dx.doi.org/10.1017/jpr.2017.64

Abstract

<jats:title>Abstract</jats:title><jats:p> 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. </jats:p>

Item Type:	Article
Uncontrolled Keywords:	Gaussian binomial coefficient, q-binomial, random walk
Depositing User:	Symplectic Admin
Date Deposited:	01 Apr 2020 10:59
Last Modified:	18 Jan 2023 23:56
DOI:	10.1017/jpr.2017.64
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3081330