Asymptotic Properties of Some Estimators for the Infection Rate in the General Stochastic Epidemic Model
一般随机流行病模型中感染率估计量的渐近性质
SUMMARY Some estimators for the infection rate in the general stochastic epidemic model are presented. The first estimator follows the approach of maximum likelihood. However, this approach requires us to observe most if not all of the epidemic process. As an alternative, an estimator which uses less detailed data is derived from a suitable martingale. Both estimators are shown to be consistent only when a major outbreak of disease is observed. Minor out-breaks do not…