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Significance of the characteristic roots of linearized econometric models

Author

Listed:
  • Bianchi, Carlo
  • Calzolari, Giorgio
  • Corsi, Paolo
  • Panattoni, Lorenzo

Abstract

This paper shows how to compute asymptotic standard errors of the characteristic roots of a nonlinear econometric model. The system of simultaneous equations is linearized in the neighborhood of a given point, then characteristic roots and related standard errors are computed.

Suggested Citation

  • Bianchi, Carlo & Calzolari, Giorgio & Corsi, Paolo & Panattoni, Lorenzo, 1980. "Significance of the characteristic roots of linearized econometric models," MPRA Paper 24882, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:24882
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    File URL: https://mpra.ub.uni-muenchen.de/24882/1/MPRA_paper_24882.pdf
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    References listed on IDEAS

    as
    1. Gustafson, Elizabeth F., 1978. "Testing unstable econometric models for stability : An empirical study," Journal of Econometrics, Elsevier, vol. 8(2), pages 193-201, October.
    2. Oberhofer, W & Kmenta, J, 1973. "Estimation of Standard Errors of the Characteristic Roots of a Dynamic Econometric Model," Econometrica, Econometric Society, vol. 41(1), pages 171-177, January.
    3. Bianchi, Carlo & Calzolari, Giorgio & Corsi, Paolo, 1979. "On the stability of the Klein-I model," Economics Letters, Elsevier, vol. 4(1), pages 33-35.
    4. Schmidt, Peter, 1974. "The Algebraic Equivalence of the Oberhofer-Kmenta and Theil-Boot Formulae for the Asymptotic Variance of a Characteristic Root of a Dynamic Econometric Model," Econometrica, Econometric Society, vol. 42(3), pages 591-592, May.
    5. Brundy, James M & Jorgenson, Dale W, 1971. "Efficient Estimation of Simultaneous Equations by Instrumental Variables," The Review of Economics and Statistics, MIT Press, vol. 53(3), pages 207-224, August.
    6. Klein, Lawrence R, 1969. "Estimation on Interdependent Systems in Macroeconometrics," Econometrica, Econometric Society, vol. 37(2), pages 171-192, April.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Nonlinear econometric models; characteristic roots; eigenvalues; asymptotic standard errors;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

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