A useful random time-scale transformation for the standard epidemic model
- 1 March 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 17 (02) , 324-332
- https://doi.org/10.1017/s002190020004715x
Abstract
In this paper it is shown that a random time-scale transformation leads to a simple derivation of some asymptotic results describing the progress of a major outbreak in the standard epidemic model. These results find application in approximation of the size distribution and in estimation of the threshold parameter.Keywords
This publication has 6 references indexed in Scilit:
- On a functional central limit theorem for Markov population processesAdvances in Applied Probability, 1974
- The area under the infectives trajectory of the general stochastic epidemicJournal of Applied Probability, 1972
- The cost of a general stochastic epidemicJournal of Applied Probability, 1972
- The estimation of parameters from population data on the general stochastic epidemicTheoretical Population Biology, 1971
- The Asymptotic Analysis of a Stochastic Model of an EpidemicTheory of Probability and Its Applications, 1970
- THE TOTAL SIZE OF A GENERAL STOCHASTIC EPIDEMICBiometrika, 1953