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Correlation structure of teletraffic measurements from randomly-scanned calls arrival data

Published online by Cambridge University Press:  14 July 2016

P. A. Lee*
Affiliation:
University of Malaya
*
Postal address: Department of Mathematics, University of Malaya, Kuala Lumpur 22–11, Malaysia.

Abstract

In teletraffic measurements, a call arrival process is commonly studied using a method with time-uniform or periodic scanning. The information recorded is the number of calls arrived between the scannings, from which data the number of scans between two successive calls is obtained. These later numbers are used as a measure of the interarrival times.

For an exponential call arrival process, except in the case of Poisson scanning, all other scanning schemes yield the number of scans which are not independent in any two interarrival intervals. By treating the problem as an interaction of two stationary stochastic point processes, we determine the exact joint probability distribution of the number of scans in two adjacent and non-adjacent interarrival intervals. An explicit expression for the correlation coefficient is also obtained.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1980 

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