\(q\)-Stieltjes classes for some families of \(q\)-densities

DOI10.1016/j.spl.2018.11.013zbMath1407.60024arXiv1805.06204OpenAlexW2901817348MaRDI QIDQ1726854

Sofiya Ostrovska, Mehmet Turan

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06204

zbMATH Keywords

analytic function\(q\)-distribution\(q\)-density\(q\)-moment\(q\)-moment (in)determinacy\(q\)-Stieltjes class

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) (q)-calculus and related topics (05A30) Characterization and structure theory of statistical distributions (62E10) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (3)

On the \(q\)-moment determinacy of probability distributions ⋮ Moment determinacy versus \(q\)-moment determinacy of probability distributions ⋮ Stieltjes classes for discrete distributions of logarithmic type

Cites Work

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• Structure of Stieltjes classes of moment-equivalent probability laws
• A \(q\)-analog of Newton's series, Stirling functions and Eulerian functions
• Recent developments on the moment problem
• Method for constructing Stieltjes classes for \(M\)-indeterminate probability distributions
• Discrete q-Distributions
• Stieltjes classes for moment-indeterminate probability distributions
• Univariate Discrete Distributions
• Investigations about continued fractions (reprint)

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