Sofiya Ostrovska, Mehmet Turan
Published 2019-07-10Version 1
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.
Characterizations of probability distributions via bivariate regression of record values
The $Δ_2$-condition and $\varphi$-families of probability distributions
The Topology of Probability Distributions on Manifolds
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