Convergence Properties of Kemp's q-Binomial Distribution

Details Convergence Properties of Kemp's q-Binomial Distribution Convergence Properties of Kemp's q-Binomial Distribution

2008-04-03

arxiv.org/abs/0804.0534v1

Mathematics

Probability

Scientific paper

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.

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