On the infinite divisibility of inverse Beta distributions [PDF]
, 2014 We show that all negative powers β a,b 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 Levy perpetuity ...
Pierre Bosch, T. Simon
semanticscholar +1 more source
Mathematics and the real world
Koers : Bulletin for Christian Scholarship, 2000 In this article the initial discussion of the untenability of the distinction between “pure” and “applied" mathematics is followed by looking at alternative approaches regarding the relationship between mathematics and the “real world” - with ...
D.F.M. Strauss
doaj +1 more source
On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws [PDF]
, 2013 We consider a class of probability measures $\mu_{s,r}^{\alpha}$ which have explicit Cauchy-Stieltjes transforms. This class includes a symmetric beta distribution, a free Poisson law and some beta distributions as special cases.
Arizmendi, Octavio, Hasebe, Takahiro
core +2 more sources
Classical and free infinite divisibility for Boolean stable laws [PDF]
, 2012 We completely determine the free infinite divisibility for the Boolean stable law which is parametrized by a stability index $\alpha$ and an asymmetry coefficient $\rho$.
Octavio Arizmendi, Takahiro Hasebe
semanticscholar +1 more source
Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV [PDF]
, 2018 Certain characterizations of recently proposed univariate continuous distributions are presented in different directions. This work contains a good number of reintroduced distributions and may serve as a source of preventing the reinvention and/or ...
Hamedani, Gholamhossein G.
core +3 more sources
Some infinite divisibility properties of the reciprocal of planar Brownian motion exit time from a cone [PDF]
, 2012 With the help of the Gauss-Laplace transform for the exit time from a cone of planar Brownian motion, we obtain some infinite divisibility properties for the reciprocal of this exit time.
Stavros Vakeroudis, M. Yor
semanticscholar +1 more source
Division algebras with infinite genus [PDF]
Bulletin of the London Mathematical Society, 2014 5 pages. In new version, title is changed from "A Division Algebra With Infinite Genus" to match that of published ...
openaire +3 more sources
The de Finetti structure behind some norm-symmetric multivariate densities with exponential decay
Dependence Modeling, 2020 We derive a sufficient condition on the symmetric norm ||·|| such that the probability distribution associated with the density function f (x) ∝exp(−λ ||x||) is conditionally independent and identically distributed in the sense of de Finetti’s seminal ...
Mai Jan-Frederik
doaj +1 more source
A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
, 2007 A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables and the ...
A. M. Mathai +23 more
core +1 more source
Some new approaches to infinite divisibility
, 2011 Using an approach based, amongst other things, on Proposition 1 of Kaluza (1928), Goldie (1967) and, using a different approach based especially on zeros of polynomials, Steutel (1967) have proved that each nondegenerate distribution function (d.f.) $F$ (
Gupta, Arjun K. +2 more
core +1 more source