Parameter estimation and model selection for stochastic differential equations for biological growth
Fernando Baltazar-Larios,
Francisco Delgado-Vences,
Arelly Ornelas
Abstract:In this paper, we consider stochastic versions of three classical growth models given by ordinary differential equations (ODEs). Indeed we use stochastic versions of Von Bertalanffy, Gompertz, and Logistic differential equations as models. We assume that each stochastic differential equation (SDE) has some crucial parameters to be estimated and we use the Maximum Likelihood Estimator (MLE) to estimate them. For estimating the diffusion parameter, we use the MLE for two cases and the quadratic variation of the … Show more
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