Parameter estimation through the weighted goal programming model

Belaid Aouni, Cinzia Colapinto, Davide La Torre

Research output: Contribution to journalArticlepeer-review

Abstract

Many models in economics, management and finance can be described in terms of nonlinear dynamical systems which usually depend on some unknown parameters. To conduct a long-run behaviour analysis of these models it is of paramount importance to establish efficient and accurate parameter estimation techniques. Today many sophisticated nonlinear model estimation, selection and testing approaches are available and reliable. However, when the nonlinear dynamical systems take the form of differential equations, many of them fail and it is required to use more advanced techniques. The aim of this paper is to present a weighted goal programming formulation for estimating the unknown parameters of dynamical models described in terms of differential equations. The method is illustrated through two different applications to population dynamics (Malthus model) and innovation diffusion (Bass model).

Original languageEnglish
Pages (from-to)263-273
Number of pages11
JournalInternational Journal of Multicriteria Decision Making
Volume5
Issue number3
DOIs
Publication statusPublished - Jan 1 2015

Keywords

  • Bass model
  • Malthus model
  • Parameter estimation
  • Weighted goal programming model

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research

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