Parameter estimation through the weighted goal programming model. (2015)

• Record Type: Journal Article
• Authors: Aouni, Belaid; Colapinto, Cinzia; Torre, Davide La
• Is Part Of: International journal of multicriteria decision making. Volume 5:Number 3(2015)
• Page Start: 263
• Page End: 273
• Publication Date: 2015
• Subjects: parameter estimation -- weighted goal programming -- modelling -- Malthus model -- Bass model -- nonlinear systems -- differential equations -- unknown parameters -- dynamical models -- population dynamics -- innovation diffusion; 658.403005
• Languages: English
• ISSNs: 2040-106X

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).