Bayesian analysis for a fractional population growth model
Ariza Hernández, Francisco Julián
Sánchez Ortiz, Jorge
Arciga Alejandre, Martin Patricio
Vivas Cruz, Luis Xavier
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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.
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