A probabilistic interpretation of the Gaussian binomial coefficients
Copyright policy ) Takis Konstantopoulos; Linglong Yuan;
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.
- Xi’an Jiaotong-Liverpool University China (People's Republic of)
- Uppsala University Sweden
random walk, Stopping times; optimal stopping problems; gambling theory, Sums of independent random variables; random walks, \(q\)-binomial, Gaussian binomial coefficient
random walk, Stopping times; optimal stopping problems; gambling theory, Sums of independent random variables; random walks, \(q\)-binomial, Gaussian binomial coefficient
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selected citations
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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