Parameter estimation of stochastic SIR model driven by small Lévy
noises with time-dependent periodic transmission
Statistical Inference for Stochastic Processes : An International Journal devoted to Time Series Analysis and the Statistics of Continuous Time Processes and Dynamical Systems (SISP), 2023
Abstract
We investigate the parameter estimation and forecasting of two forms of the stochastic SIR model driven by small L\'{e}vy noises. We accomplish this by utilizing least squares estimators. We include simulation studies of both forms using the method of projected gradient descent to aid in the parameter estimation.
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