IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i12p2098-d449939.html
   My bibliography  Save this article

Estimation of Multilevel Simultaneous Equation Models through Genetic Algorithms

Author

Listed:
  • Rocío Hernández-Sanjaime

    (Center of Operations Research, Miguel Hernández University, 03202 Elche, Spain)

  • Martín González

    (Center of Operations Research, Miguel Hernández University, 03202 Elche, Spain)

  • Jose J. López-Espín

    (Center of Operations Research, Miguel Hernández University, 03202 Elche, Spain)

Abstract

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.

Suggested Citation

  • Rocío Hernández-Sanjaime & Martín González & Jose J. López-Espín, 2020. "Estimation of Multilevel Simultaneous Equation Models through Genetic Algorithms," Mathematics, MDPI, vol. 8(12), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2098-:d:449939
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/12/2098/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/12/2098/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Fiona Steele & Anna Vignoles & Andrew Jenkins, 2007. "The effect of school resources on pupil attainment: a multilevel simultaneous equation modelling approach," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 170(3), pages 801-824, July.
    2. Rand Ressler & Melissa Waters, 2000. "Female earnings and the divorce rate: a simultaneous equations model," Applied Economics, Taylor & Francis Journals, vol. 32(14), pages 1889-1898.
    3. Hausman, Jerry A., 1983. "Specification and estimation of simultaneous equation models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 1, chapter 7, pages 391-448, Elsevier.
    4. Fiona Steele, 2003. "Selection effects of source of contraceptive supply in an analysis of discontinuation of contraception: multilevel modelling when random effects are correlated with an explanatory variable," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 166(3), pages 407-423, October.
    5. Kamel Jedidi & Harsharanjeet S. Jagpal & Wayne S. DeSarbo, 1997. "Finite-Mixture Structural Equation Models for Response-Based Segmentation and Unobserved Heterogeneity," Marketing Science, INFORMS, vol. 16(1), pages 39-59.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rashmita Basu, 2013. "Willingness-to-pay to prevent Alzheimer’s disease: a contingent valuation approach," International Journal of Health Economics and Management, Springer, vol. 13(3), pages 233-245, December.
    2. Boone, Peter, 1996. "Politics and the effectiveness of foreign aid," European Economic Review, Elsevier, vol. 40(2), pages 289-329, February.
    3. Guillem López‐Casasnovas & Marc Saez, 1999. "The impact of teaching status on average costs in Spanish hospitals," Health Economics, John Wiley & Sons, Ltd., vol. 8(7), pages 641-651, November.
    4. Arthur Lewbel, 2012. "Using Heteroscedasticity to Identify and Estimate Mismeasured and Endogenous Regressor Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(1), pages 67-80.
    5. Yu Ding & Wayne S. DeSarbo & Dominique M. Hanssens & Kamel Jedidi & John G. Lynch & Donald R. Lehmann, 2020. "The past, present, and future of measurement and methods in marketing analysis," Marketing Letters, Springer, vol. 31(2), pages 175-186, September.
    6. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    7. Poterba, James M & Summers, Lawrence H, 1984. "New Evidence that Taxes Affect the Valuation of Dividends," Journal of Finance, American Finance Association, vol. 39(5), pages 1397-1415, December.
    8. David Figlio & Jens Ludwig, 2012. "Sex, Drugs, and Catholic Schools: Private Schooling and Non-Market Adolescent Behaviors," German Economic Review, Verein für Socialpolitik, vol. 13(4), pages 385-415, November.
    9. Zhi Dong & Jiaqi Zhang & Xiaoqi Gong & Laijun Wang, 2024. "The Role of Smart Travel Service in Intercity Travel Satisfaction: Does Traveler Heterogeneity Matter?," Sustainability, MDPI, vol. 16(17), pages 1-16, August.
    10. Allen, Jaime & Muñoz, Juan Carlos & Ortúzar, Juan de Dios, 2019. "On evasion behaviour in public transport: Dissatisfaction or contagion?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 130(C), pages 626-651.
    11. Edmundo Murrugarra & Martín Valdivia, 2000. "Morbilidad autoreportada y los retornos a la salud para los varones urbanos en el Perú: enfermedad vs. Incapacidad," Otras investigaciones, Consorcio de Investigación Económica y Social.
    12. Sarstedt, Marko & Salcher, André, 2007. "Modellselektion in Finite Mixture PLS-Modellen," Discussion Papers in Business Administration 1394, University of Munich, Munich School of Management.
    13. von Hagen, Jurgen & Zhou, Jizhong, 2005. "The determination of capital controls: Which role do exchange rate regimes play?," Journal of Banking & Finance, Elsevier, vol. 29(1), pages 227-248, January.
    14. Alejandro Carrasco & Ernesto San Mart’n, 2012. "Voucher system and school effectiveness: Reassessing school performance difference and parental choice decision-making," Estudios de Economia, University of Chile, Department of Economics, vol. 39(2 Year 20), pages 123-141, December.
    15. Brockhaus, Jan & Kalkuhl, Matthias & Kozicka, Marta, 2016. "What Drives India’s Rice Stocks? Empirical Evidence," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235659, Agricultural and Applied Economics Association.
    16. Fatum, Rasmus & Scholnick, Barry, 2008. "Monetary policy news and exchange rate responses: Do only surprises matter?," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1076-1086, June.
    17. Pal, Sarmistha & Saha, Bibhas, 2014. "In 'Trusts' We Trust: Socially Motivated Private Schools in Nepal," IZA Discussion Papers 8270, Institute of Labor Economics (IZA).
    18. George Halkos & Kyriaki Tsilika, 2015. "Programming Identification Criteria in Simultaneous Equation Models," Computational Economics, Springer;Society for Computational Economics, vol. 46(1), pages 157-170, June.
    19. Berganza, Juan Carlos & Broto, Carmen, 2012. "Flexible inflation targets, forex interventions and exchange rate volatility in emerging countries," Journal of International Money and Finance, Elsevier, vol. 31(2), pages 428-444.
    20. Suryadipta Roy, 2007. "Are Illegal Drugs Inferior Goods in the US?," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 35(3), pages 303-314, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2098-:d:449939. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.