Results 11 to 20 of about 31,355 (278)
Mutant Number Laws and Infinite Divisibility
Axioms, 2022 Concepts of infinitely divisible distributions are reviewed and applied to mutant number distributions derived from the Lea-Coulson and other models which describe the Luria-Delbrück fluctuation test.
Anthony G. Pakes
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On infinite divisibility of a class of two-dimensional vectors in the second Wiener chaos
Modern Stochastics: Theory and Applications, 2020 Infinite divisibility of a class of two-dimensional vectors with components in the second Wiener chaos is studied. Necessary and sufficient conditions for infinite divisibility are presented as well as more easily verifiable sufficient conditions.
Andreas Basse-O’Connor +2 more
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FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013 We prove that the integral powers of the semicircular distribution are freely infinitely divisible. As a byproduct we get another proof of the free infinite divisibility of the classical Gaussian distribution.
Arizmendi, Octavio, Belinschi, Serban T.
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Educational approaches and research achievements of Alexander Khintchine in mathematics [PDF]
ریاضی و جامعه, 2023 The role of Alexander Yakovlevich Khintchine in mathematics and especially in probability theory is undeniable. His approaches to teaching mathematics, especially in the secondary school, are still a perfect model for mathematics teachers.
Ramin Kazemi
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Families of polynomials of every degree with no rational preperiodic points
Comptes Rendus. Mathématique, 2021 Let $K$ be a number field. Given a polynomial $f(x)\in K[x]$ of degree $d\ge 2$, it is conjectured that the number of preperiodic points of $f$ is bounded by a uniform bound that depends only on $d$ and $[K:\mathbb{Q}]$.
Sadek, Mohammad
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Lévy measures of infinitely divisible random vectors and Slepian inequalities [PDF]
, 1994 We study Slepian inequalities for general non-Gaussian infinitely divisible random vectors. Conditions for such inequalities are expressed in terms of the corresponding Levy measures of these vectors. These conditions are shown to be nearly best possible,
Samorodnitsky, Gennady, Taqqu, Murad S.
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A New Tight Upper Bound on the Entropy of Sums
Entropy, 2015 We consider the independent sum of a given random variable with a Gaussian variable and an infinitely divisible one. We find a novel tight upper bound on the entropy of the sum which still holds when the variable possibly has an infinite second moment ...
Jihad Fahs, Ibrahim Abou-Faycal
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Multivariate Escher Transformed Laplace Distribution and Its Generalization
Journal of Statistical Theory and Applications (JSTA), 2020 This paper we introduced a new distribution namely the multivariate Esscher transformed Laplace distribution. Various properties of the distribution are studied and the applications are discussed.
H Rimsha, Dais George
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Lietuvos Matematikos Rinkinys, 2011 We consider the formal asymptotic expansion of probability distribution of the sums of independent random variables. The approximation was made by using infinitely divisible probability distributions.
Algimantas Bikelis +2 more
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About the exact simulation of bivariate (reciprocal) Archimax copulas
Dependence Modeling, 2022 We provide an exact simulation algorithm for bivariate Archimax copulas, including instances with negative association. In contrast to existing simulation approaches, the feasibility of our algorithm is directly linked to the availability of an exact ...
Mai Jan-Frederik
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