Bayesian Analysis for a Fractional Population Growth Model
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 Ba...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/9654506 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552867109535744 |
|---|---|
| author | Francisco J. Ariza-Hernandez Jorge Sanchez-Ortiz Martin P. Arciga-Alejandre Luis X. Vivas-Cruz |
| author_facet | Francisco J. Ariza-Hernandez Jorge Sanchez-Ortiz Martin P. Arciga-Alejandre Luis X. Vivas-Cruz |
| author_sort | Francisco J. Ariza-Hernandez |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-89d2445ad1174842af59f0787bf5c7fb |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-89d2445ad1174842af59f0787bf5c7fb2025-02-03T05:57:34ZengWileyJournal of Applied Mathematics1110-757X1687-00422017-01-01201710.1155/2017/96545069654506Bayesian Analysis for a Fractional Population Growth ModelFrancisco J. Ariza-Hernandez0Jorge Sanchez-Ortiz1Martin P. Arciga-Alejandre2Luis X. Vivas-Cruz3Facultad de Matemáticas, Universidad Autónoma de Guerrero, 39087 Chilpancingo, GRO, MexicoFacultad de Matemáticas, Universidad Autónoma de Guerrero, 39087 Chilpancingo, GRO, MexicoFacultad de Matemáticas, Universidad Autónoma de Guerrero, 39087 Chilpancingo, GRO, MexicoFacultad de Matemáticas, Universidad Autónoma de Guerrero, 39087 Chilpancingo, GRO, MexicoWe 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.http://dx.doi.org/10.1155/2017/9654506 |
| spellingShingle | Francisco J. Ariza-Hernandez Jorge Sanchez-Ortiz Martin P. Arciga-Alejandre Luis X. Vivas-Cruz Bayesian Analysis for a Fractional Population Growth Model Journal of Applied Mathematics |
| title | Bayesian Analysis for a Fractional Population Growth Model |
| title_full | Bayesian Analysis for a Fractional Population Growth Model |
| title_fullStr | Bayesian Analysis for a Fractional Population Growth Model |
| title_full_unstemmed | Bayesian Analysis for a Fractional Population Growth Model |
| title_short | Bayesian Analysis for a Fractional Population Growth Model |
| title_sort | bayesian analysis for a fractional population growth model |
| url | http://dx.doi.org/10.1155/2017/9654506 |
| work_keys_str_mv | AT franciscojarizahernandez bayesiananalysisforafractionalpopulationgrowthmodel AT jorgesanchezortiz bayesiananalysisforafractionalpopulationgrowthmodel AT martinparcigaalejandre bayesiananalysisforafractionalpopulationgrowthmodel AT luisxvivascruz bayesiananalysisforafractionalpopulationgrowthmodel |