Abstract
In this paper we estimate the parameters in the stochastic SIS epidemic model by using pseudo-maximum likelihood estimation (pseudo-MLE) and least squares estimation. We obtain the point estimators and \(100 (1-\alpha )\%\) confidence intervals as well as \(100 (1-\alpha )\%\) joint confidence regions by applying least squares techniques. The pseudo-MLEs have almost the same form as the least squares case. We also obtain the exact as well as the asymptotic \(100 (1-\alpha )\%\) joint confidence regions for the pseudo-MLEs. Computer simulations are performed to illustrate our theory.
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