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:02 Volume:10 Page:277-288
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

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. On a partial differential equation of epidemic theory. I

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

3. A solution of the general stochastic epidemic

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

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the algebraic structure in Markovian processes of death and epidemic types;Advances in Applied Probability;1999-09

2. A modification of the general stochastic epidemic motivated by AIDS modelling;Advances in Applied Probability;1993-03

3. A method for approximating the probability functions of a Markov chain;Journal of Applied Probability;1988-12

4. A drug addiction model;Journal of Applied Probability;1988-12

5. The saddlepoint approximation for a general birth process;Journal of Applied Probability;1982-03