Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability

Simultaneous Equations Model (SEM) is a set of regression equations where bidirectional relationships exist between variables. SEMs are widely used to model complex systems, capture the interdependencies between different variables, and make predictions about future outcomes in a wide range of field...

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Authors: Pérez-Sánchez, Belén; Perea, Carmen; Gonzalez, Martin; López-Espín, Jose J.
Format: Article
Publication date:2025
Country:España
Institution:Universidad Miguel Hernández de Elche
Repository:REDIUMH. Depósito Digital de la UMH
OAI Identifier:oai:dspace.umh.es:11000/38566
Online Access:https://hdl.handle.net/11000/38566
Access Level:Open access
Keyword:Simultaneous equation models
Optimized Bayesian method of moments
Entropy
Computational statistics
CDU::0 - Generalidades.
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author Pérez-Sánchez, Belén
author2 Perea, Carmen
Gonzalez, Martin
López-Espín, Jose J.
author2_role author
author
author
author_browse Gonzalez, Martin
López-Espín, Jose J.
Perea, Carmen
Pérez-Sánchez, Belén
author_facet Pérez-Sánchez, Belén
Perea, Carmen
Gonzalez, Martin
López-Espín, Jose J.
author_role author
collection REDIUMH. Depósito Digital de la UMH
description Simultaneous Equations Model (SEM) is a set of regression equations where bidirectional relationships exist between variables. SEMs are widely used to model complex systems, capture the interdependencies between different variables, and make predictions about future outcomes in a wide range of fields such as economics, markets, or health sciences. In the literature, the performance of numerous methods, both classical and Bayesian, has been widely studied in various aspects such as endogeneity or correlation. To our knowledge, the study of estimator performance under varying levels of data variability in simultaneous equation models is not well-developed. This paper aims to evaluate the performance of methods for estimating SEMs of different sizes, considering the number of variables and the variability of endogenous variables. An experimental study has been conducted applying different estimation methods, including Two Stage Least Squares (2SLS) and the Optimized Bayesian Method of Moments (BmomOPT ), to evaluate their performance across different SEMs. Based on our computational results, the main finding is that the performance of the methods depends on the variability of the data, with BmomOPT being more accurate at lower levels of variability. These results could interest researchers aiming to apply SEMs in practical cases as they offer insights into selecting the estimation method while considering both the model size and data variability
eu_rights_str_mv openAccess
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institution Universidad Miguel Hernández de Elche
instname_str Universidad Miguel Hernández de Elche
network_acronym_str ES
network_name_str España
oai_identifier_str oai:dspace.umh.es:11000/38566
publishDate 2025
publishDateSort 2025
publisher SpringerOpen
publisherStr SpringerOpen
reponame_str REDIUMH. Depósito Digital de la UMH
spelling Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability Pérez-Sánchez, Belén Perea, Carmen Gonzalez, Martin López-Espín, Jose J. Simultaneous equation models Optimized Bayesian method of moments Entropy Computational statistics CDU::0 - Generalidades. Simultaneous Equations Model (SEM) is a set of regression equations where bidirectional relationships exist between variables. SEMs are widely used to model complex systems, capture the interdependencies between different variables, and make predictions about future outcomes in a wide range of fields such as economics, markets, or health sciences. In the literature, the performance of numerous methods, both classical and Bayesian, has been widely studied in various aspects such as endogeneity or correlation. To our knowledge, the study of estimator performance under varying levels of data variability in simultaneous equation models is not well-developed. This paper aims to evaluate the performance of methods for estimating SEMs of different sizes, considering the number of variables and the variability of endogenous variables. An experimental study has been conducted applying different estimation methods, including Two Stage Least Squares (2SLS) and the Optimized Bayesian Method of Moments (BmomOPT ), to evaluate their performance across different SEMs. Based on our computational results, the main finding is that the performance of the methods depends on the variability of the data, with BmomOPT being more accurate at lower levels of variability. These results could interest researchers aiming to apply SEMs in practical cases as they offer insights into selecting the estimation method while considering both the model size and data variability SpringerOpen https://hdl.handle.net/11000/38566
spellingShingle Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability
Pérez-Sánchez, Belén
Simultaneous equation models
Optimized Bayesian method of moments
Entropy
Computational statistics
CDU::0 - Generalidades.
title Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability
title_full Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability
title_fullStr Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability
title_full_unstemmed Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability
title_short Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability
title_sort Evaluation of Estimation Methods for Simultaneous Equations Models Across Varying Levels of Data Variability
topic Simultaneous equation models
Optimized Bayesian method of moments
Entropy
Computational statistics
CDU::0 - Generalidades.
topic_facet Simultaneous equation models
Optimized Bayesian method of moments
Entropy
Computational statistics
CDU::0 - Generalidades.
url https://hdl.handle.net/11000/38566