Parameter estimation for the stochastic SIS epidemic model

Gray, Alison and Pan, Jiafeng and Greenhalgh, David and Mao, Xuerong (2015) Parameter estimation for the stochastic SIS epidemic model. In: 26th Numerical Analysis Conference, 2015-06-23 - 2015-06-26, University of Strathclyde. (Unpublished)

Abstract

In this work [1] we estimate the parameters in the stochastic SIS (susceptible-infected-susceptible) epidemic model [2] by using pseudo-maximum likelihood estimation (pseudo-MLE) and least squares estimation. We obtain the point estimators and 100(1−α)% confidence intervals as well as 100(1 − α)% 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 − α)% joint confidence regions for the pseudo-MLEs. Computer simulations are used to illustrate our theory.

ORCID iDs

Gray, Alison ORCID: https://orcid.org/0000-0002-6273-0637

Pan, Jiafeng ORCID: https://orcid.org/0000-0001-5993-3209

Greenhalgh, David ORCID: https://orcid.org/0000-0001-5380-3307

Mao, Xuerong ORCID: https://orcid.org/0000-0002-6768-9864

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• Item metadata

  Item type:	Conference or Workshop Item(Speech)
  ID code:	54499
  Dates:	Date Event June 2015 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	07 Oct 2015 09:36
  Last modified:	11 Nov 2024 16:44
  Related URLs:	Event
  URI:	https://strathprints.strath.ac.uk/id/eprint/54499