I. V. Ostrovskii's work on arithmetic of probability laws
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Publication:6642739
DOI10.15407/MAG20.03.05MaRDI QIDQ6642739
Publication date: 25 November 2024
Published in: Journal of Mathematical Physics, Analysis, Geometry (Search for Journal in Brave)
characteristic functioninfinitely divisible lawprobability lawclass \(I_0\)arithmetic of probability laws
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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