Arithmetic of probability laws

DOI10.1007/BF01246365zbMath0376.60020WikidataQ114852669 ScholiaQ114852669MaRDI QIDQ1245515

L. Z. Livshits, Gennadiy P. Chistyakov, Iossif V. Ostrovskii

Publication date: 1976

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Probability distributions: general theory (60E05)

Cites Work

• Some extensions of a theorem of Marcinkiewicz
• Some further extensions of a theorem of Marcinkiewicz
• On the decomposition of stable characteristic functions
• On the decomposition of infinitely divisible characteristic functions with a continuous Poisson spectrum
• Probability distributions on locally compact Abelian groups
• Generalization of a theorem of Marcinkiewicz
• Some further analytical results in the theory of regenerative events
• On the decomposition of infinitely divisible probability laws without normal factor
• On the decomposition of infinitely divisible characteristic functions with continuous Poisson spectrum. II
• Random walks with spherical symmetry
• Über eine Eigenschaft der normalen Verteilungsfunktion
• Sur une propriété de la loi de Gauss
• On the factorization of certain probability distributions
• Remarks Concerning Characteristic Functions
• On a Factorization Theorem in the Theory of Analytic Characteristic Functions
• Infinitely Divisible Distributions: Recent Results and Applications
• On a Theorem of Levy-Raikov
• On the Category of Indecomposable Distributions on Topological Groups
• On the Order and the Type of Entire Characteristic Functions
• Generalized convolutions II
• A survey of the theory of characteristic functions
• Factorization of probability measures on locally compact groups
• Delphic semi-groups, infinitely divisible regenerative phenomena, and the arithmetic of p-functions
• Arithmetic and other properties of certain Delphic semigroups. I
• On Infinitely Divisible One-Sided Distributions.
• Generalized convolutions
• On the decomposition of infinitely divisible characteristic functions of several variables
• Delphic semigroups
• The Factorisation of the rectangular distribution
• Sur un theoreme de Lewis et la decomposition en facteurs premiers de la loi rectangulaire
• More Delphic theory and practice
• On Finite Products of Poisson-Type Characteristic Functions of Several Variables
• [https://portal.mardi4nfdi.de/wiki/Publication:5587613 Application de la th�orie des fonctions caract�ristiques de plusieurs variables � l'�tude de certains probl�mes de d�composition des fonctions caract�ristiques d'une variable]
• Complex Roots of Real Characteristic Functions
• On the Domains of Definition of Analytic Characteristic Functions
• A characterization of a class of convolutions
• On the relation between entire characteristic function of a refined order and its distribution function
• Entire characteristic functions of completely regular growth
• [https://portal.mardi4nfdi.de/wiki/Publication:5604218 Sur la divisibilit� des probabilit�s dans un groupe topologique]
• A Characterization of Certain Infinitely Divisible Laws
• On An Analytical Decomposition of the Poisson Law
• [https://portal.mardi4nfdi.de/wiki/Publication:5615153 Isomorphismes et arithm�tique des semi-groupes de lois de probabilit�]
• Sur un problème de R. Shimizu
• Decomposition of generalized binomial and multinomial distributions
• Factorization Theory and Domains of Attraction for Generalized Convolution Algebras
• [https://portal.mardi4nfdi.de/wiki/Publication:5653398 D�composition de distributions � support compact]
• Eigenschaften der charakteristischen Funktionen von einseitig beschränkten Verteilungsfunktionen und ihre Anwendung auf ein Charakterisierungsproblem der mathematischen Statistik
• On the Decomposition of A Class of Functions of Bounded Variation
• The stochastic theory of regenerative events
• Sur les exponentielles de polynômes et sur l'arithmétique des produits de lois de Poisson
• Sur la divisibilité des lois convexes de probabilité
• Distribution Functions Containing a Gaussian Factor
• On the Factorization of Distributions
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