A probabilistic interpretation of the Gaussian binomial coefficients

Takis Konstantopoulos; Linglong Yuan

doi:10.1017/jpr.2017.64

A probabilistic interpretation of the Gaussian binomial coefficients

Takis Konstantopoulos^*, Linglong Yuan

^*Corresponding author for this work

School of Mathematics and Physics

Uppsala University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1295-1298
Number of pages	4
Journal	Journal of Applied Probability
Volume	54
Issue number	4
DOIs	https://doi.org/10.1017/jpr.2017.64
Publication status	Published - 1 Dec 2017

Keywords

Gaussian binomial coefficient
q-binomial
random walk

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10.1017/jpr.2017.64

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title = "A probabilistic interpretation of the Gaussian binomial coefficients",

abstract = "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.",

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A probabilistic interpretation of the Gaussian binomial coefficients

Abstract

Keywords

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