ON A FAMILY OF q-BINOMIAL DISTRIBUTIONS
نویسنده
چکیده
We introduce a family of q-analogues of the binomial distribution, which generalises the Stieltjes-Wigert-, Rogers-Szegö-, and Kemp-distribution. Basic properties of this familiy are provided and several convergence results involving the classical binomial, Poisson, discrete normal distribution, and a family of q-analogues of the Poisson distribution are established. These results generalise convergence properties of Kemp’s-distribution, and some of them are q-analogues of classical convergence properties.
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