Results 21 to 30 of about 10,658 (237)
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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Equivalence of Infinitely Divisible Distributions
The Annals of Probability, 1975 If $F$ is an infinitely divisible distribution function without a Gaussian component whose Levy spectral measure $M$ is absolutely continuous and $M(\mathbb{R}^1\backslash\{0\}) = \infty$, then $F$ is shown to have an a.e. positive density over its support; this support of $F$ is always an interval of the form $(-\infty, \infty), (-\infty, a\rbrack$ or
Hudson, William N., Tucker, Howard G.
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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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Power series distributions in clan structure analysis: new observables in strong interactions [PDF]
, 2002 We present a new thermodynamical approach to multiparticle production in high energy hadronic interactions, making use of the formalism of infinitely divisible power series distributions.
Giovannini, A., Ugoccioni, R.
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On the infinite divisibility of inverse Beta distributions
Bernoulli, 2015 We show that all negative powers B_{a,b}^-{s} of the Beta distribution are infinitely divisible. The case b<1 follows by complete monotonicity, the case b > 1, s > 1 by hyperbolically complete monotonicity and the case b > 1, s < 1 by a Lévy perpetuity argument involving the hypergeometric series.
Bosch, Pierre, Simon, Thomas
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The effect of random scale changes on limits of infinitesimal systems
International Journal of Mathematics and Mathematical Sciences, 1978 Suppose S={{Xnj, j=1,2,…,kn}} is an infinitesimal system of random variables whose centered sums converge in law to a (necessarily infinitely divisible) distribution with Levy representation determined by the triple (γ,σ2,M).
Patrick L. Brockett
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On quasi-infinitely divisible distributions [PDF]
Transactions of the American Mathematical Society, 2018 A quasi-infinitely divisible distribution on $\mathbb{R}$ is a probability distribution whose characteristic function allows a Lévy-Khintchine type representation with a "signed Lévy measure", rather than a Lévy measure. Quasi-infinitely divisible distributions appear naturally in the factorization of infinitely divisible distributions.
Lindner, Alexander +2 more
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The normal distribution is $\boxplus$-infinitely divisible
Advances in Mathematics, 2009 AMS LaTeX, 29 pages, using tikz and 3 eps figures; new proof including infinite divisibility of certain Askey-Wilson-Kerov ...
Belinschi, Serban T. +3 more
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Bound for the maximal probability in the Littlewood-Offord problem
, 2016 The paper deals with studying a connection of the Littlewood--Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions.
Zaitsev, Andrei Yu.
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Microstructure Evolution of a VMnFeCoNi High‐Entropy Alloy After Synthesis, Swaging, and Annealing
Advanced Engineering Materials, EarlyView.The synthesis and processing (rotary swaging and annealing) of the novel VMnFeCoNi alloy is investigated, alongside the estimation of the grain size effect on hardness. Analysis of a wide grain size range of recrystallized microstructures (12–210 µm) reveals a low annealing twin density.
Aditya Srinivasan Tirunilai +6 more
wiley +1 more source