On the <i>q</I>-moment Determinacy of Probability Distributions
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BRONZE
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Yes
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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 they 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.
Description
Ostrovska, Sofiya/0000-0003-1842-7953
ORCID
Keywords
q-density, q-moment, Moment problem, q-moment (in)determinacy, Analytic function, Probability (math.PR), FOS: Mathematics, 60E05, 30E05, 05A30, 62E10, Mathematics - Probability, \(q\)-density, \(q\)-moment, \(q\)-moment (in)determinacy, Moment problems and interpolation problems in the complex plane, analytic function, \(q\)-calculus and related topics, Characterization and structure theory of statistical distributions, Probability distributions: general theory, moment problem
Fields of Science
0101 mathematics, 01 natural sciences
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WoS Q
Scopus Q
OpenCitations Citation Count
1
Volume
43
Issue
6
Start Page
3885
End Page
3896
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CrossRef : 1
Scopus : 1
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1
checked on Jun 07, 2026
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1
checked on Jun 07, 2026
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