Discrete Stieltjes classes for log-Heine type distributions
Probability
2019-07-08 v2
Abstract
The Stieltjes classes play a significant role in the moment problem since they permit to expose an infinite family of probability distributions all having equal moments of all orders. Given a moment-indeterminate distribution, it may not be easy to indicate another distribution with the same moments. Mostly, the Stieltjes classes have been considered for absolutely continuous distributions. In this work, a new approach for constructing them in the discrete case is presented. Examples for some widely used discrete distributions are provided.
Keywords
Cite
@article{arxiv.1808.03086,
title = {Discrete Stieltjes classes for log-Heine type distributions},
author = {Sofiya Ostrovska and Mehmet Turan},
journal= {arXiv preprint arXiv:1808.03086},
year = {2019}
}
Comments
9 pages