Results 231 to 240 of about 942,754 (267)
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Journal of the London Mathematical Society, 1994
Abstract: "We consider the problem of characterizing the finitely additive probability measures on the definable subsets of the random graph which are invariant under the action of the automorphism group of this graph. We show that such measures are all integrals of Bernoulli measures (which arise from the coin-flipping model of the construction of the
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Abstract: "We consider the problem of characterizing the finitely additive probability measures on the definable subsets of the random graph which are invariant under the action of the automorphism group of this graph. We show that such measures are all integrals of Bernoulli measures (which arise from the coin-flipping model of the construction of the
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Journal of Theoretical Probability, 1997
A random measure \(\nu\) is constructed as limiting state of a supercritical discrete time branching random walk in which particle mass and step size are rescaled geometrically in time. At least heuristically, the law of \(\nu\) is related to the distribution of a superprocess at a certain deterministic time.
Allouba, Hassan +3 more
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A random measure \(\nu\) is constructed as limiting state of a supercritical discrete time branching random walk in which particle mass and step size are rescaled geometrically in time. At least heuristically, the law of \(\nu\) is related to the distribution of a superprocess at a certain deterministic time.
Allouba, Hassan +3 more
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1981
We present the correlation function of a Gaussian stationary field as the Fourier transform of a spectral measure and construct with its help a (Gaussian) random spectral measure. Then we express a stationary Gaussian field itself as the Fourier transform of this random spectral measure.
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We present the correlation function of a Gaussian stationary field as the Fourier transform of a spectral measure and construct with its help a (Gaussian) random spectral measure. Then we express a stationary Gaussian field itself as the Fourier transform of this random spectral measure.
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Generalized Random Spectral Measures
Journal of Theoretical Probability, 2012Let \((\Omega ,{\mathcal F},P)\) be a probability space, \(H\) a complex Hilbert space, and \((S,{\mathcal A})\) a measurable space. By a random spectral measure on \((S,{\mathcal A},H)\), the authors mean the parametrized family \(\{ U(\omega ):\omega \in\Omega \}\) of spectral measures on \((S,{\mathcal A},H)\) such that, for every \(x\in H\), \(M\in
Dang Hung Thang +2 more
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Measuring randomness in IoT products
2019 II Workshop on Metrology for Industry 4.0 and IoT (MetroInd4.0&IoT), 2019Choosing and using a random number generator is no simple task. Most random number generators fail statistical tests, revealing patterns in their output. Good generators can lead to disasters if not properly seeded. IoT products may not afford safe random number generators if these products are built on low resource hardware because safety tends to ...
Daniel Chicayban Bastos +2 more
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A measure of the symmetry of random walks
Journal of Statistical Physics, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiss, George H., Weissman, Haim
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Vector Symmetric Random Measures and Random Integrals
Theory of Probability & Its Applications, 1993Let \(F\) be a vector-valued symmetric random measure that is not necessarily generated by an infinitely divisible measure. The author constructs an integral of real-valued functions \(f\) w.r.t. \(F\) and shows that this integral pertains the usual convergence properties (in particular, convergence of \(F\)-integrable functions \(f_ n\) to an \(F ...
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Majorization and randomness measures
Journal of Applied ProbabilityAbstractA series of papers by Hickey (1982, 1983, 1984) presents a stochastic ordering based on randomness. This paper extends the results by introducing a novel methodology to derive models that preserve stochastic ordering based on randomness. We achieve this by presenting a new family of pseudometric spaces based on a majorization property.
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Complexity measures for random knots
Computers & Chemistry, 1990Abstract In order to model volume exclusion effects, a linear macromolecule can be modeled as a self-avoiding walk (SAW) on 3, the simple cubic lattice in 3-space. A circular macromolecule can be modeled as a closed SAW, or a self-avoiding polygon (SAP) embedded in 3.
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The Measurement of Spatially Random Phenomena
SIAM Journal on Applied Mathematics, 1984This paper is concerned with an assay-system design problem: how can a limited number of designs be selected rationally and efficiently for a detailed design analysis when a large range of alternatively proposed assay-system designs is given? The relative mass resolution is introduced as the performance criterion for first-stage design analysis.
Ben-Haim, Yakov, Shenhav, Natan
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