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Asymptotic estimator 1 Confidence interval 1 Confidence region 1 Least squares estimation 1 Logistic equations 1 Pseudo-maximum likelihood estimation 1 Stochastic SIS epidemic model 1
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Gray, Alison 1 Greenhalgh, David 1 Mao, Xuerong 1 Pan, Jiafeng 1
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Statistical Inference for Stochastic Processes 1
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Parameter estimation for the stochastic SIS epidemic model
Pan, Jiafeng; Gray, Alison; Greenhalgh, David; Mao, Xuerong - In: Statistical Inference for Stochastic Processes 17 (2014) 1, pp. 75-98
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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$100 (1-\alpha )\%$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mn>100</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>-</mo> <mi mathvariant="italic">α</mi> <mo stretchy="false">)</mo> <mo>%</mo> </mrow> </math> </EquationSource> </InlineEquation> confidence intervals as well as <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$100...</equationsource></inlineequation></equationsource></equationsource></inlineequation>
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