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dc.contributor.authorMoujahid, Abdelmalik
dc.contributor.authorVadillo, Fernando
dc.date2022
dc.date.accessioned2023-08-29T15:56:29Z
dc.date.available2023-08-29T15:56:29Z
dc.identifier.citationMoujahid, A., & Vadillo, F. (2022). Modeling and Calibration for Some Stochastic Differential Models. Fractal and Fractional, 6(12), 707. MDPI AG. Retrieved from http://dx.doi.org/10.3390/fractalfract6120707es_ES
dc.identifier.issn2504-3110
dc.identifier.urihttps://reunir.unir.net/handle/123456789/15153
dc.description.abstractIn many scientific fields, the dynamics of the system are often known, and the main challenge is to estimate the parameters that model the behavior of the system. The question then arises whether one can use experimental measurements of the system response to derive the parameters? This problem has been addressed in many papers that focus mainly on data from a deterministic model, but few efforts have been made to use stochastic data instead. In this paper, we address this problem using the following procedure: first, we build the probabilistic stochastic differential models using a natural extension of the commonly used deterministic models. Then, we use the data from the stochastic models to estimate the model parameters by solving a nonlinear regression problem. Since the stochastic solutions are not differentiable, we use the well-known Nelder–Mead algorithm. Our numerical results show that the fitting procedure is able to obtain good estimates of the parameters requiring only a few sample data.es_ES
dc.language.isoenges_ES
dc.publisherFractal and Fractionales_ES
dc.relation.ispartofseries;vol. 6, nº 12
dc.relation.urihttps://www.mdpi.com/2504-3110/6/12/707es_ES
dc.rightsopenAccesses_ES
dc.subjectnonlinear regressiones_ES
dc.subjectstochastic differential modelses_ES
dc.subjectScopuses_ES
dc.subjectJCRes_ES
dc.titleModeling and Calibration for Some Stochastic Differential Modelses_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttps://doi.org/10.3390/fractalfract6120707


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