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A useful random time-scale transformation for the standard epidemic model

Published online by Cambridge University Press:  14 July 2016

Ray Watson
Ray Watson*
Affiliation:
University of Melbourne
*
∗Postal address: Department of Statistics, Richard Berry Building, University of Melbourne, Parkville, Victoria 3052, Australia.
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Abstract

In this paper it is shown that a random time-scale transformation leads to a simple derivation of some asymptotic results describing the progress of a major outbreak in the standard epidemic model. These results find application in approximation of the size distribution and in estimation of the threshold parameter.

Keywords

STANDARD EPIDEMIC MODELRANDOM TIME-SCALE TRANSFORMATIONASYMPTOTIC RESULTSESTIMATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 2 , June 1980 , pp. 324 - 332
Copyright
Copyright © Applied Probability Trust 1980 

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