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An application of a martingale central limit theorem to the standard epidemic model

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  • Watson, Ray

Abstract

In this paper, useful limit results for the standard epidemic model are proved using a martingale central limit theorem given by McLeish [2]. These results do not depend on the solutions of the deterministic equations, and also cover the case of a small initial number of infectives. Further, the results find immediate application in approximating the size distribution and in estimating the threshold parameter.

Suggested Citation

  • Watson, Ray, 1981. "An application of a martingale central limit theorem to the standard epidemic model," Stochastic Processes and their Applications, Elsevier, vol. 11(1), pages 79-89, March.
    • Handle: RePEc:eee:spapps:v:11:y:1981:i:1:p:79-89
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