Estimation of Multilevel Simultaneous Equation Models through Genetic Algorithms

Problems in estimating simultaneous equation models when error terms are not intertemporally uncorrelated has motivated the introduction of a new multivariate model referred to as Multilevel Simultaneous Equation Model (MSEM). The maximum likelihood estimation of the parameters of an MSEM has been s...

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Detalles Bibliográficos
Autores: González Espinosa, Martín, Hernández Sanjaime, Rocío, López-Espín, Jose J.
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Miguel Hernández de Elche
Repositorio:REDIUMH. Depósito Digital de la UMH
OAI Identifier:oai:dspace.umh.es:11000/34947
Acceso en línea:https://hdl.handle.net/11000/34947
Access Level:acceso abierto
Palabra clave:multilevel simultaneous equation model
maximum likelihood estimation
genetic algorithms
optimization
CDU::5 - Ciencias puras y naturales::51 - Matemáticas
Descripción
Sumario:Problems in estimating simultaneous equation models when error terms are not intertemporally uncorrelated has motivated the introduction of a new multivariate model referred to as Multilevel Simultaneous Equation Model (MSEM). The maximum likelihood estimation of the parameters of an MSEM has been set forth. Because of the difficulties associated with the solution of the system of likelihood equations, the maximum likelihood estimator cannot be obtained through exhaustive search procedures. A hybrid metaheuristic that combines a genetic algorithm and an optimization method has been developed to overcome both technical and analytical limitations in the general case when the covariance structure is unknown. The behaviour of the hybrid metaheuristic has been discussed by varying different tuning parameters. A simulation study has been included to evaluate the adequacy of this estimator when error terms are not serially independent. Finally, the performance of this estimation approach has been compared with regard to other alternatives.