A comparison of approximation methods for the estimation of probability distributions on parameters

• Autores: H. T. Banks, Jimena L. Davis
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 5-7, 2007, págs. 753-777
• Idioma: inglés
• DOI: 10.1016/j.apnum.2006.07.016
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• Resumen

  • In this paper, we compare two computationally efficient approximation methods for the estimation of growth rate distributions in size-structured population models. After summarizing the underlying theoretical framework, we present several numerical examples as validation of the theory. Furthermore, we compare the results from a spline based approximation method and a delta function based approximation method for the inverse problem involving the estimation of the distributions of growth rates in size-structured mosquitofish populations. Convergence as well as sensitivity of the estimates with respect to noise in the data are discussed for both approximation methods.