Results 151 to 160 of about 1,324,916 (195)

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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Poisson approximation

Proceedings Geometric Modeling and Processing 2000. Theory and Applications, 2000
R. Goldman, G. Morin
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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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Poisson Approximation.

Biometrics, 1995
T. Papaioannou, A. D. Barbour, L. Holst, S. Janson   +3 more
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Estimates of accuracy of the Poisson approximation for the distribution of number of runs of long string repetitions in a Markov chain

, 2016
V. G. Mikhaylov
semanticscholar   +1 more source

Stein’s method for conditional compound Poisson approximation

, 2015
H. L. Gan, A. Xia
semanticscholar   +1 more source