Operators on the vanishing moments subspace and Stieltjes classes for M-indeterminate probability distributions

DOI10.1108/AJMS-04-2021-0083zbMath1497.44009OpenAlexW3190601143MaRDI QIDQ5095870

Marcos López-García

Publication date: 11 August 2022

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/ajms-04-2021-0083

zbMATH Keywords

Hilbert transformStieltjes classM-indeterminate densityvanishing moments subspace

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Characterization and structure theory of statistical distributions (62E10) Moment problems (44A60)

Cites Work

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• The generalized lognormal distribution and the Stieltjes moment problem
• Krein condition and the Hilbert transform
• Density questions in the classical theory of moments
• From discrete to absolutely continuous solutions of indeterminate moment problems
• Recent developments on the moment problem
• Method for constructing Stieltjes classes for \(M\)-indeterminate probability distributions
• Stieltjes classes for M-indeterminate powers of inverse Gaussian distributions
• Stieltjes classes for moment-indeterminate probability distributions

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