Results 261 to 270 of about 1,408,791 (309)

Improving Poisson Approximations

Probability in the Engineering and Informational Sciences, 1994
LetX1,…,Xn, be indicator random variables, and setWe present a method for estimating the distribution ofWin settings whereWhas an approximately Poisson distribution. Our method is shown to yield estimates significantly better than straight Poisson estimates when applied to Bernoulli convolutions, urn models, the circularkofn:Fsystem, and a matching ...
Erol A. Peköz, Sheldon M. Ross
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Refinement of Poisson Approximation

Theory of Probability & Its Applications, 1989
See the review in Zbl 0652.60029.
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Extending the Poisson approximation

Science, 1993
Science ; 262 ; 5132 ; 379-380 ...
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Finite dimensional lie‐poisson approximations to vlasov‐poisson equations

Communications on Pure and Applied Mathematics, 1994
AbstractMany of the basic equations of conservative continuum mechanics (Euler, Vlasov‐Poisson, Vlasov‐Maxwell, MHD, etc.) are Hamiltonian systems with respect to Lie‐Poisson brackets on dual spaces of infinite dimensional Lie algebras. The development of Lie‐Poisson integrators for finite dimensional Lie‐Poisson systems has shown that they are ...
Scovel, Clint, Weinstein, Alan
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Poisson process approximation

1992
Abstract Another reason for wishing to do so comes from the study of the extremes of a sequence of random variables. In this context, it is interesting to know not only when exceptional values occur but also how big they are, and the natural framework for the description of such phenomena is the marked point process of exceedances. It is
A D Barbour, Lars Holst, Svante Janson
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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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Approximate poisson confidence limits

Communications in Statistics - Theory and Methods, 1994
This paper examines the accuracy of various normal approximations for the confidence limits for the Poisson parameter λ. While exact limits can be obtained from the Chi-square distribution, for large numbers of total counts, Chi-square values for large degrees of freedom are required and may not be readily available.
Neil C. Schwertman, Ricardo A. Martinez
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Large deviations by poisson approximations

Journal of Statistical Planning and Inference, 1992
Some sharp large deviation asymptotics are established for sums of independent, not necessarily identically distributed Bernoulli random variables. As usual, associated (Bernoulli) random variables are introduced via exponential centering. But instead of using a central limit type argument for the latter, a sharper Poisson approximation is applied here.
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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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Coupling and Poisson approximation

Acta Applicandae Mathematicae, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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