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<p>We investigate the parameter estimation and prediction of two forms of the stochastic SIR model driven by small Lévy noise with time-dependent periodic transmission. We present consistency and rate of convergence results for the least-squares estimators. We include simulation studies using the method of projected gradient descent.</p>

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Parameter estimation of stochastic SIR model driven by small Lévy noise with time-dependent periodic transmission

  • 期刊论文

  • 发表日期：

    2025年1月20日

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  • Terry Easlick,
  • Wei Sun

摘要

We investigate the parameter estimation and prediction of two forms of the stochastic SIR model driven by small Lévy noise with time-dependent periodic transmission. We present consistency and rate of convergence results for the least-squares estimators. We include simulation studies using the method of projected gradient descent.