Applications of the latin hypercube method for the estimation of parameters of mathematical models from a pedagogical perspective

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Jhon Franklin Puerres Tipas
Eduardo Ibarguen Mondragón https://orcid.org/0000-0001-6308-1344
Miller Cerón Gómez

Keywords

Latin hypercube sampling, mathematical models, probability distribution, sensitivity analysis, differential equations

Abstract

In this article a didactic methodology is developed to obtain samples through the Latin hypercube method. In addition, simultaneously a series of statistical tools is used, with the purpose of analyzing the uncertainty, sensitivity and importance of the parameters of mathematical models formulated from ordinary differential equations. Latin hypercube sampling is a statistical method that allows to create samples with values of a multidimensional distribution from a stratified random procedure. Concepts and definitions of the method, the methodology to obtain a sample and finally applications of this method associated with the local sensitivity analysis of a model are developed in this work.

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