Factorial moments and probabilities for the general stochastic epidemic-Reference-Cited by-同舟云学术

Factorial moments and probabilities for the general stochastic epidemic

Published:1973-06 Issue:2 Volume:10 Page:277-288
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Billard L.

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference6 articles.

1. Two theorems on solutions of differential-difference equations and applications to epidemic theory

2. A recursion theorem on solving differential-difference equations and applications to some stochastic processes

3. On a partial differential equation of epidemic theory. I

4. A solution of the general stochastic epidemic

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