Bayesian Analysis for a Fractional Population Growth Model. (23rd January 2017)

• Record Type: Journal Article
• Authors: Ariza-Hernandez, Francisco J.; Sanchez-Ortiz, Jorge; Arciga-Alejandre, Martin P.; Vivas-Cruz, Luis X.
• Other Names: Trujillo Juan J. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2017(2017)
• Publication Date: 2017-01-23
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2017/9654506
• Languages: English
• ISSNs: 1110-757X

Abstract

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.