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Factorial moments and probabilities for the general stochastic epidemic

Published online by Cambridge University Press:  14 July 2016

L. Billard
L. Billard*
Affiliation:
State University of New York at Buffalo
*
*Now at the University of Waterloo, Ontario.
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Abstract

By an appropriate partitioning of the matrix of coefficients in the system of differential difference equations for the general stochastic epidemic, the nature of the state probabilities is shown to consist of combinations of factorial terms. Further, factorial moments are readily obtained. In particular, the mean and variance of the number of susceptibles are derived.

Keywords

GENERAL STOCHASTIC EPIDEMICSTATE PROBABILITIESFACTORIAL MOMENTSMEAN AND VARIANCE OF NUMBER OF SUSCEPTIBLES
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 2 , June 1973 , pp. 277 - 288
Copyright
Copyright © Applied Probability Trust 1973 

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References

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