Results 1 to 10 of about 475,253 (253)
Sparsity and Infinite Divisibility [PDF]
IEEE Transactions on Information Theory, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Amini, M.Unser
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On the infinite divisibility of distributions of some inverse subordinators [PDF]
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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Infinite Divisibility of Information [PDF]
IEEE Transactions on Information Theory, 2021 We study an information analogue of infinitely divisible probability distributions, where the i.i.d. sum is replaced by the joint distribution of an i.i.d. sequence. A random variable $X$ is called informationally infinitely divisible if, for any $n\ge1$, there exists an i.i.d.
Cheuk Ting Li
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Free infinite divisibility for beta distributions and related ones [PDF]
, 2014 We prove that many of beta, beta prime, gamma, inverse gamma, Student t- and ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter negative result follows from a local property of probability density functions.
Hasebe, Takahiro
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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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Convergence of the Fourth Moment and Infinite Divisibility: Quantitative estimates [PDF]
, 2014 We give an estimate for the Kolmogorov distance between an infinitely divisible distribution (with mean zero and variance one) and the standard Gaussian distribution in terms of the difference between the fourth moment and 3. In a similar fashion we give
Arizmendi, Octavio, Jaramillo, Arturo
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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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The life and work of Olof Thorin (1912–2004); pp. 18–25 [PDF]
Proceedings of the Estonian Academy of Sciences, 2008 This paper reviews Olof Thorinâs contributions to mathematical analysis, actuarial mathematics, and probability theory, though in reversed order. In probability theory he is known for his path-breaking work on infinite divisibility.
Lennart Bondesson +2 more
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On the Accuracy of the Generalized Gamma Approximation to Generalized Negative Binomial Random Sums
Mathematics, 2021 We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence in ...
Irina Shevtsova, Mikhail Tselishchev
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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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