An analogue of the Klebanov theorem for locally compact abelian groups
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Publication:6592151
DOI10.1007/s10959-024-01339-zzbMath1547.60012MaRDI QIDQ6592151
Publication date: 24 August 2024
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Characterization and structure theory of statistical distributions (62E10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Cites Work
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- An analytic generalization of independence and identical distributiveness
- Independence of linear forms with random coefficients
- Herleitung des Gaußschen Fehlergesetzes aus einer Funktionalgleichung.
- Characterization theorems for \(Q\)-independent random variables with values in a locally compact abelian group
- Characterization of the Gaussian distribution on groups by the independence of linear statistics
- On a group analogue of the Heyde theorem
- Characterization of distributions of \(Q\)-independent random variables on locally compact abelian groups
- Functional equations and characterization problems on locally compact abelian groups
- An analogue of the Bernstein theorem for the cylinder
- Über eine Eigenschaft der normalen Verteilungsfunktion.
- On the Skitovich--Darmois--Ramachandran Theorem
- On a Characterization of the Normal Distribution from Properties of Suitable Linear Statistics
- Marcinkiewicz and Lukacs Theorems on Abelian Groups
- THE SKITOVICH–DARMOIS THEOREM FOR LOCALLY COMPACT ABELIAN GROUPS
- On the Decomposition of Gaussian Distributions on Groups
- On a Characterization of the Normal Distribution
- Analyse générale des liaisons stochastiques: etude particulière de l'analyse factorielle linéaire
- A Property of the Normal Distribution
- Characterization of Probability Distributions on Locally Compact Abelian Groups
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