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Dihedral-torsion model potentials that include angle-damping factors. [PDF]
Manz TA.
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Representation of Infinitely Divisible Distributions on Cones [PDF]
We investigate infinitely divisible distributions on cones in Fréchet spaces. We show that every infinitely divisible distribution concentrated on a normal cone has the regular Lévy–Khintchine representation if and only if the cone is regular.
VÍCTOR Pérez-Abreu +2 more
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On Geometric Infinite Divisibility and Stability
Annals of the Institute of Statistical Mathematics, 2000The paper studies geometric infinite divisibility and geometric stability of distributions with support on the nonnegative integers \(\mathbb Z_+\) and the nonnegative reals \(\mathbb R_+\), respectively. Several new characterizations are obtained. It is shown that compound-geometric (resp.
Aly, Emad-Eldin A. A., Bouzar, Nadjib
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The American Mathematical Monthly, 2006
Assembling natural numbers in such nice patterns often has interesting consequences, and so it is in this case. Each of the aforementioned matrices is endowed with positive definiteness of a very high order: for every positive real number r the matrices with entries a\-, b\-, c\-, and d\are positive semidefinite.
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Assembling natural numbers in such nice patterns often has interesting consequences, and so it is in this case. Each of the aforementioned matrices is endowed with positive definiteness of a very high order: for every positive real number r the matrices with entries a\-, b\-, c\-, and d\are positive semidefinite.
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On the Infinite Divisibility of Polynomials in Infinitely Divisible Random Variables
1992It is shown that all second degree polynomials in standard normal random variables are infinitely divisible and an example of a polynomial of degree three or more is given which is not infinitely divisible. It is also shown that if a polynomial in a random variable with support {0,1,2,…} is infinitely divisible then it must be linear.
V. K. Rohatgi, G. J. Székely
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On Indecomposable Laws with Infinitely Divisible Projections
Theory of Probability & Its Applications, 1985For any \(n\geq 2\) the authors construct the n-dimensional indecomposable distributions whose all one-dimensional projections are infinitely divisible. A somewhat stronger result in which the infinite divisibility of the projections on all subspaces of all dimensions \(1\leq k\leq n-1\) is guaranteed was obtained independently in the paper by \textit ...
Ushakov, V. G., Ushakov, N. G.
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Testing Max-Infinite Divisibility
Theory of Probability & Its Applications, 1993See the review in Zbl 0753.62036.
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Convolution equivalence and infinite divisibility
Journal of Applied Probability, 2004Known results relating the tail behaviour of a compound Poisson distribution function to that of its Lévy measure when one of them is convolution equivalent are extended to general infinitely divisible distributions. A tail equivalence result is obtained for random sum distributions in which the summands have a two-sided distribution.
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Infinitely divisible distributions in turbulence
Physical Review E, 1994The imbedding of the scale similarity of random fields into the theory of infinitely divisible probability distributions is considered. The general probability distribution for the breakdown coefficients of turbulent energy dissipation is obtained along with corresponding similarity exponents.
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