Moments of q-Normal and conditional q-Normal distributions
Probability
2015-07-20 v1
Abstract
We calculate moments and moment generating functions of two distributions: the so called Normal and the so called conditional Normal distributions. These distributions generalize both Normal ( Wigner ( Normal) and Kesten-McKay ( conditional Normal) distributions. As a by product we get asymptotic properties of some expansions in modified Bessel functions.
Keywords
Cite
@article{arxiv.1506.07970,
title = {Moments of q-Normal and conditional q-Normal distributions},
author = {Paweł J. Szabłowski},
journal= {arXiv preprint arXiv:1506.07970},
year = {2015}
}