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Simultaneous Equations with Three Way Error Components

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  • Marius C. O. Amba

    (University of Yaounde II)

Abstract

This paper derives limited and full information estimators for structural parameters of a simultaneous equations model with three-way error components for balanced panels. The model consists in a finite number of equations that incorporates three dimensions: area, individual and time. Monte Carlo experiments illustrate the gain in efficiency by performing their estimators rather than the existing procedures for simultaneous one-way and simultaneous two-way error components.

Suggested Citation

  • Marius C. O. Amba, 2021. "Simultaneous Equations with Three Way Error Components," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(3), pages 583-596, September.
  • Handle: RePEc:spr:jqecon:v:19:y:2021:i:3:d:10.1007_s40953-021-00236-0
    DOI: 10.1007/s40953-021-00236-0
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    References listed on IDEAS

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    1. Kelejian, Harry H & Prucha, Ingmar R, 1998. "A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 99-121, July.
    2. Prucha, Ingmar R, 1985. "Maximum Likelihood and Instrumental Variable Estimation in Simultaneous Equation Systems with Error Components," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 491-506, June.
    3. Baltagi, Badi H. & Chang, Young-Jae, 2000. "Simultaneous Equations With Incomplete Panels," Econometric Theory, Cambridge University Press, vol. 16(2), pages 269-279, April.
    4. Nerlove, Marc, 1971. "A Note on Error Components Models," Econometrica, Econometric Society, vol. 39(2), pages 383-396, March.
    5. Xiaodong Liu & Paulo Saraiva, 2019. "GMM estimation of spatial autoregressive models in a system of simultaneous equations with heteroskedasticity," Econometric Reviews, Taylor & Francis Journals, vol. 38(4), pages 359-385, April.
    6. Badi H. Baltagi, 2021. "Simultaneous Equations with Error Components," Springer Texts in Business and Economics, in: Econometric Analysis of Panel Data, edition 6, chapter 0, pages 157-186, Springer.
    7. Badi H. Baltagi & Peter Egger & Michael Pfaffermayr, 2013. "A Generalized Spatial Panel Data Model with Random Effects," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 650-685, August.
    8. Baltagi, Badi H, 1984. "A Monte Carlo Study for Pooling Time Series of Cross-Section Data in the Simultaneous Equations Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 603-624, October.
    9. Maddala, G S, 1971. "The Use of Variance Components Models in Pooling Cross Section and Time Series Data," Econometrica, Econometric Society, vol. 39(2), pages 341-358, March.
    10. Swamy, P A V B & Arora, S S, 1972. "The Exact Finite Sample Properties of the Estimators of Coefficients in the Error Components Regression Models," Econometrica, Econometric Society, vol. 40(2), pages 261-275, March.
    11. Amemiya, Takeshi, 1971. "The Estimation of the Variances in a Variance-Components Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 12(1), pages 1-13, February.
    12. Davis, Peter, 2002. "Estimating multi-way error components models with unbalanced data structures," Journal of Econometrics, Elsevier, vol. 106(1), pages 67-95, January.
    13. Lina Lu, 2017. "Simultaneous Spatial Panel Data Models with Common Shocks," Supervisory Research and Analysis Working Papers RPA 17-3, Federal Reserve Bank of Boston.
    14. Wallace, T D & Hussain, Ashiq, 1969. "The Use of Error Components Models in Combining Cross Section with Time Series Data," Econometrica, Econometric Society, vol. 37(1), pages 55-72, January.
    15. Fuller, Wayne A. & Battese, George E., 1974. "Estimation of linear models with crossed-error structure," Journal of Econometrics, Elsevier, vol. 2(1), pages 67-78, May.
    16. Xiaodong Liu, 2020. "GMM identification and estimation of peer effects in a system of simultaneous equations," Journal of Spatial Econometrics, Springer, vol. 1(1), pages 1-27, December.
    17. Yang, Kai & Lee, Lung-fei, 2017. "Identification and QML estimation of multivariate and simultaneous equations spatial autoregressive models," Journal of Econometrics, Elsevier, vol. 196(1), pages 196-214.
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    More about this item

    Keywords

    Panel data; Simultaneous equations; Three-way error components;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation

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