Results 11 to 20 of about 2,121 (306)
On quasi-infinitely divisible distributions [PDF]
, 2022 In this thesis, we investigate the class of quasi-infinitely divisible distributions. By definition, a distribution is quasi-infinitely divisible if its characteristic function can be written as the quotient of the characteristic functions of two ...
Kutlu, Merve
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Infinitely Divisible Multivariate Distributions [PDF]
, 2022 Infinitely divisible random variables have distributions that can be written as sums of countably many independent and identical distributions, i.e. a random variable $X$ is infinitely divisible if X= ∑_(i=1)^n X_i =X_1+X_2+⋯+X_n for any n, where the ...
Li, Catherine
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Sparsity and Infinite Divisibility [PDF]
IEEE Transactions on Information Theory, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arash Amini, Michael Unser
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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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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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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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ON A PROBLEM OF INFINITE DIVISIBILITY
Journal of Mathematical Sciences, 2021 Let $f(t)$ be a characteristic function. The question on infinite divisibility of $g_{2k}(t)=f^{(2k)}(t)/f^{(2k)}(0)$ is considered. There are given the condition for that function not to be infinite divisible. Some examples of infinite divisibility of $g_{2k}(t)$ are given.
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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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On the infinite divisibility of distributions of some inverse subordinators
Modern Stochastics: Theory and Applications, 2018 We consider the infinite divisibility of distributions of some well-known inverse subordinators. Using a tail probability bound, we establish that distributions of many of the inverse subordinators used in the literature are not infinitely divisible.
Arun Kumar, Erkan Nane
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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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