Convergence Properties of Kemp's q-Binomial Distribution
Probability
2008-04-04 v1 Combinatorics
Abstract
We consider Kemp's q-analogue of the binomial distribution. Several convergence results involving the classical binomial, the Heine, the discrete normal, and the Poisson distribution are established. Some of them are q-analogues of classical convergence properties. Besides elementary estimates, we apply Mellin transform asymptotics.
Cite
@article{arxiv.0804.0534,
title = {Convergence Properties of Kemp's q-Binomial Distribution},
author = {Stefan Gerhold and Martin Zeiner},
journal= {arXiv preprint arXiv:0804.0534},
year = {2008}
}