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arXiv · 1907.04672

On the q-moment determinacy of probability distributions

Sofiya Ostrovska·Mehmet Turan
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Abstract

Given $0<q<1,$ every absolutely continuous distribution can be described in two different ways: in terms of a probability density function and also in terms of a $q$-density. Correspondingly, it has a sequence of moments and a sequence of $q$-moments if those exist. In this article, new conditions on the $q$-moment determinacy of probability distributions are derived. In addition, results related to the comparison of the properties of probability distributions with respect to the moment and $q$-moment determinacy are presented.

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Sofiya Ostrovska, Mehmet Turan. 2019-07-10. On the q-moment determinacy of probability distributions. https://arxiv.org/abs/1907.04672

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