Results 161 to 170 of about 775,098 (192)

Properties of the interrupted poisson approximation

Operations Research Letters, 1984
The interrupted Poisson approximation has been used very successfully for overflow systems. The approximation is fitted to the overflow stream so that if the number of overflow servers was infinite the distribution of the number of serves in use would have the same first three moments. The approximation is shown to be a lower bound in the sense that it
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On the Poisson Approximation of the Binomial Distribution

Siberian Mathematical Journal, 2001
Given two arbitrary probability distributions \(P\) and \(Q\) on the real line and an arbitrary nonnegative constant \(z\), denote by \(\rho(z,P,Q)\) the so-called Dudley distance between \(P\) and \(Q\): \[ \rho(z,P,Q)=\inf_{\xi,\eta}\mathbf{P}\{|\xi-\eta|>z\}, \] where the infimum is calculated over all random variables \(\xi\) and \(\eta\) on a ...
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On approximation by a poisson type convolution

Lithuanian Mathematical Journal, 1996
Consider sums \(S_n\) of independent, identically distributed random variables \(X_j\) having a lattice distribution concentrated on \(\{0,1,2,\dots\}\). The author uses Poisson type convolutions to approximate the probabilities \(P(S_n= k)\) in a general setting.
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Poisson approximation

Proceedings Geometric Modeling and Processing 2000. Theory and Applications, 2000
Ronald N. Goldman, Géraldine Morin
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Poisson approximation for large deviations

Random Structures & Algorithms, 1990
AbstractUpper and lower bounds are given for P(S ≤ k), 0 ≤ k ≤ ES, where S is a sum of indicator variables with a special structure, which appears, for example, in subgraph counts in random graphs. in typical cases, these bounds are close to the corresponding probabilities for a Poisson distribution with the same mean as S.
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Poisson Approximations and the Definition of the Poisson Process

The American Mathematical Monthly, 1984
On donne certains resultats concernant l'erreur d'approximation de certaines variables aleatoires par des distributions de Poisson.
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Poisson Approximation

Bulletin of the London Mathematical Society, 1993
Rudolf Grubel, A. D. Barbour, Lars Holst, Svante Janson   +3 more
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Poisson approximation of multivariate Poisson mixtures

Journal of Applied Probability, 2003
We show how good multivariate Poisson mixtures can be approximated by multivariate Poisson distributions and related finite signed measures. Upper bounds for the total variation distance with applications to risk theory and generalized negative multinomial distributions are given. Furthermore, it turns out that the ideas used in this paper also lead to
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A Poisson–Charlier approximation for nonstationary queues

Operations Research Letters, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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THE GYROKINETIC APPROXIMATION FOR THE VLASOV–POISSON SYSTEM

Mathematical Models and Methods in Applied Sciences, 2000
Consider a plasma in a strong constant magnetic field with self-consistent electric field. We present here the formal derivation that leads to the so-called guiding center approximation, and justify it in the case of a well-prepared initial density of particles.
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