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The average noise from a Poisson stream of vehicles

Published online by Cambridge University Press:  14 July 2016

Per K. Andersen ,
Søren Andersen  and
Steffen L. Lauritzen
Per K. Andersen
Affiliation:
Institute of Mathematical Statistics, University of Copenhagen
Søren Andersen
Affiliation:
Institute of Mathematical Statistics, University of Copenhagen
Steffen L. Lauritzen
Affiliation:
Institute of Mathematical Statistics, University of Copenhagen
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Abstract

The distribution of the average noise power from a Poisson stream of vehicles is, properly normalised, shown to converge to a normal distribution although the corresponding stationary process is deterministic. The speed of convergence is estimated. Finally the asymptotic efficiency of a sampling procedure is discussed.

Keywords

CENTRAL LIMIT THEOREMDETERMINISTIC PROCESSFILTERED POISSON PROCESSSTATIONARY PROCESSTRAFFIC NOISE
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 4 , December 1977 , pp. 817 - 828
Copyright
Copyright © Applied Probability Trust 1977 

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References

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