Results 151 to 160 of about 322 (196)
"In Mathematical Language": On Mathematical Foundations of Quantum Foundations. [PDF]
Entropy (Basel)Plotnitsky A.
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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 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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Testing Max-Infinite Divisibility
Theory of Probability & Its Applications, 1993See the review in Zbl 0753.62036.
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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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Infinitely divisible sequences
Scandinavian Actuarial Journal, 1978Abstract Sequences and related by the system of equations occur frequently in a number of areas of mathematics, and when they do one is often interested in relating the asymptotic behaviours of the two sequences. In probability theory sequences n , which arise when one has the added conditions b0 > 0 and aj⩾ 0, often occur.
John Hawkes, John D. Jenkins
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