Zeitschriftenartikel:
M. Zeiner:
"On a family of $q$-binomial distributions";
Mathematica Slovaca,
64
(2014),
2;
S. 479
- 510.
Kurzfassung englisch:
We introduce a family of q-analogues of the binomial distribution,
which generalises the Stieltjes-Wigert-, Rogers-Szeg¨o-, 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 Kemp´s-distribution, and some of them are q-analogues
of classical convergence properties.
Schlagworte:
q-binomial distribution, Kemp-distribution, Stieltjes-Wigert-distribution, Rogers-Szeg¨o-distribution, q-Poisson distribution, limit theorems
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.2478/s12175-014-0220-z
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.