q-Stieltjes classes for some families of q-distributions
Probability
2019-05-27 v2
Abstract
The Stieltjes classes play a significant role in the moment problem allowing to exhibit explicitly an infinite family of probability densities with the same sequence of moments. In this paper, the notion of -moment determinacy/indeterminacy is proposed and some conditions for a distribution to be either -moment determinate or indeterminate in terms of its -density have been obtained. Also, a -analogue of Stieltjes classes is defined for -distributions and -Stieltjes classes have been constructed for a family of -densities of -moment indeterminate distributions.
Keywords
Cite
@article{arxiv.1805.06204,
title = {q-Stieltjes classes for some families of q-distributions},
author = {Sofiya Ostrovska and Mehmet Turan},
journal= {arXiv preprint arXiv:1805.06204},
year = {2019}
}