Bayesian Analysis for a Fractional Population Growth Model

Francisco J. Ariza-Hernandez, Jorge Sanchez-Ortiz, Martin P. Arciga-Alejandre and Luis X. Vivas-Cruz

Journal of Applied Mathematics, 2017, vol. 2017, 1-9

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:9654506

DOI: 10.1155/2017/9654506

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