On the <i>q</I>-moment Determinacy of Probability Distributions
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Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Malaysian Mathematical Sciences Soc
Open Access Color
BRONZE
Green Open Access
Yes
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No
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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
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
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Q1
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Q2
OpenCitations Citation Count
1
Source
Bulletin of the Malaysian Mathematical Sciences Society
Volume
43
Issue
6
Start Page
3885
End Page
3896
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CrossRef : 1
Scopus : 1
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