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Bayesian inference for a susceptible-exposed-infected-recovered epidemic model with data augmentation

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  • Chouaib Beldjoudi
  • Tewfik Kernane
  • Hamid El Maroufy

Abstract

A Bayesian data-augmentation method allows estimating the parameters in a susceptible-exposed-infected-recovered (SEIR) epidemic model, which is formulated as a continuous-time Markov process and approximated by a diffusion process using the convergence of the master equation. The estimation was carried out with latent data points between every pair of observations simulated through the Euler-Maruyama scheme, which involves imputing the missing data in addition to the model parameters. The missing data and parameters are treated as random variables, and a Markov-chain Monte-Carlo algorithm updates the missing data and the parameter values. Numerical simulations show the effectiveness of the proposed Markov-chain Monte-Carlo algorithm.

Suggested Citation

  • Chouaib Beldjoudi & Tewfik Kernane & Hamid El Maroufy, 2020. "Bayesian inference for a susceptible-exposed-infected-recovered epidemic model with data augmentation," Mathematical Population Studies, Taylor & Francis Journals, vol. 27(4), pages 232-258, October.
  • Handle: RePEc:taf:mpopst:v:27:y:2020:i:4:p:232-258
    DOI: 10.1080/08898480.2019.1656491
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    Cited by:

    1. Pan, Yan & Jing, Yunteng & Wu, Tonghai & Kong, Xiangxing, 2022. "Knowledge-based data augmentation of small samples for oil condition prediction," Reliability Engineering and System Safety, Elsevier, vol. 217(C).

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