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Bayesian Analysis for a Fractional Population Growth Model

Author

Listed:
  • Francisco J. Ariza-Hernandez
  • Jorge Sanchez-Ortiz
  • Martin P. Arciga-Alejandre
  • Luis X. Vivas-Cruz

Abstract

We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison between this model and an exponential one, based on an approximation of Bayes factor. A simulation study is carried out to show the performance of the estimators and the Bayes factor. Finally, we present a real data example to illustrate the effectiveness of the method proposed here and the pertinence of using a fractional model.

Suggested Citation

  • Francisco J. Ariza-Hernandez & Jorge Sanchez-Ortiz & Martin P. Arciga-Alejandre & Luis X. Vivas-Cruz, 2017. "Bayesian Analysis for a Fractional Population Growth Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnljam:v:2017:y:2017:i:1:n:9654506
    DOI: 10.1155/2017/9654506
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    References listed on IDEAS

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