I. V. Ostrovskii's work on arithmetic of probability laws

DOI10.15407/MAG20.03.05MaRDI QIDQ6642739

Alexander Il'inskii

Publication date: 25 November 2024

Published in: Journal of Mathematical Physics, Analysis, Geometry (Search for Journal in Brave)

zbMATH Keywords

characteristic functioninfinitely divisible lawprobability lawclass \(I_0\)arithmetic of probability laws

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) History of mathematics in the 20th century (01A60)

Cites Work

• Factorization of probability distributions from Yu. V. Linnik's class \({\mathbb{L}}\). I
• On the factorization of probability distribution from Yu. V. Linnik's class L. II
• Paley effect for entire characteristic functions and entire functions represented by Dirichlet series
• Zero sets of entire Hermitian positive functions
• Indicators of entire Hermitian-positive functions of finite order
• On the decomposition of the convolution of a Gaussian and Poisson distribution on locally compact Abelian groups
• Entire ridge functions with real zeros
• Decompositions of multivariate probability distributions
• \(\Gamma\)-sequences and their arithmetic
• Valiron deficiencies of entire characteristic functions of finite order
• A problem related to the arithmetic of probability measures on the sphere
• The arithmetic of the characteristic Polya functions
• Expansions of probability distributions decreasing rapidly at infinity
• Some theorems on decompositions of probability laws
• Über eine Eigenschaft der normalen Verteilungsfunktion.
• Random walks with spherical symmetry
• Sur une propriété de la loi de Gauss
• Decompositional Stability of Distribution Laws
• Arithmetic of semigroups of series in multiplicative systems
• General Theorems on the Factorization of Infinitely Divisible Laws
• ON THE GROWTH OF RIDGE FUNCTIONS THAT ARE ENTIRE OR ANALYTIC IN A HALF-PLANE
• Marcinkiewicz and Lukacs Theorems on Abelian Groups
• On a Decomposition of Generalized Poisson Distributions on Groups
• On Divisors of Infinitely Divisible Distributions Representable as Cartesian Products
• Generalized Poisson Distribution of Class $I_0 $ on Groups
• On Infinitely Divisible Distributions of the Class $I_0 $ on Groups
• Description of the Class $I_0 $ in Kingman’s Semigroup of Standard p -Functions
• On the Zeros of Entire Characteristic Functions of Distributions Concentrated on the Half-Line
• Gaussian Distributions on Locally Compact Abelian Groups
• On Decompositions of Radially Symmetric Distributions
• On the Factorization of Infinitely Divisible Distributions
• Stability in the Marcinkiewicz theorem
• Delphic semi-groups, infinitely divisible regenerative phenomena, and the arithmetic of p-functions
• Arithmetic and other properties of certain Delphic semigroups. I
• Generalized convolutions
• The Multidimensional Analogue Of Yu. V. Linnik’S Theorem on Decompositions of a Convolution of Gaussian and Poisson Laws
• On a Problem of C. R. Rao
• ON SOME CLASSES OF INFINITELY DIVISIBLE LAWS
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