Factorial moments and probabilities for the general stochastic epidemic
- 1 March 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 10 (02) , 277-288
- https://doi.org/10.1017/s0021900200095280
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
This publication has 2 references indexed in Scilit:
- A recursion theorem on solving differential-difference equations and applications to some stochastic processesJournal of Applied Probability, 1969
- Two theorems on solutions of differential-difference equations and applications to epidemic theoryJournal of Applied Probability, 1967