A New Computational Method for Estimating Simultaneous Equations Models Using Entropy as a Parameter Criteria

Abstract: Simultaneous Equations Models (SEM) is a statistical technique widely used in economic science to model the simultaneity relationship between variables. In the past years, this technique has also been used in other fields such as psychology or medicine. Thus, the development of new estimat...

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Detalhes bibliográficos
Autores: Pérez-Sánchez, Belén, González Espinosa, Martín, Perea, Carmen, López-Espín, Jose J.
Formato: artículo
Fecha de publicación:2021
País:España
Recursos:Universidad Miguel Hernández de Elche
Repositorio:REDIUMH. Depósito Digital de la UMH
OAI Identifier:oai:dspace.umh.es:11000/34492
Acesso em linha:https://hdl.handle.net/11000/34492
Access Level:acceso abierto
Palavra-chave:simultaneous equations models
bayesian method of moments
markov chain monte carlo
akaike information criteria
entropy
computational statistics
CDU::5 - Ciencias puras y naturales::51 - Matemáticas
Descrição
Resumo:Abstract: Simultaneous Equations Models (SEM) is a statistical technique widely used in economic science to model the simultaneity relationship between variables. In the past years, this technique has also been used in other fields such as psychology or medicine. Thus, the development of new estimating methods is an important line of research. In fact, if we want to apply the SEM to medical problems with the main goal being to obtain the best approximation between the parameters of model and their estimations. This paper shows a computational study between different methods for estimating simultaneous equations models as well as a new method which allows the estimation of those parameters based on the optimization of the Bayesian Method of Moments and minimizing the Akaike Information Criteria. In addition, an entropy measure has been calculated as a parameter criteria to compare the estimation methods studied. The comparison between those methods is performed through an experimental study using randomly generated models. The experimental study compares the estimations obtained by the different methods as well as the efficiency when comparing solutions by Akaike Information Criteria and Entropy Measure. The study shows that the proposed estimation method offered better approximations and the entropy measured results more efficiently than the rest.