Publications in Scientific Journals:

M. Zeiner:
"On a family of $q$-binomial distributions";
Mathematica Slovaca, 64 (2014), 2; 479 - 510.

English abstract:
We introduce a family of q-analogues of the binomial distribution,
which generalises the Stieltjes-Wigert-, Rogers-SzegĻo-, and Kemp-distribution.
Basic properties of this family 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 generalize
convergence properties of Kempīs-distribution, and some of them are q-analogues
of classical convergence properties.

q-binomial distribution, Kemp-distribution, Stieltjes-Wigert-distribution, Rogers-SzegĻo-distribution, q-Poisson distribution, limit theorems

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Created from the Publication Database of the Vienna University of Technology.