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Significance of the characteristic roots of linearized econometric models


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


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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    References listed on IDEAS

    1. Bianchi, Carlo & Calzolari, Giorgio & Corsi, Paolo, 1979. "On the stability of the Klein-I model," Economics Letters, Elsevier, vol. 4(1), pages 33-35.
    2. Gustafson, Elizabeth F., 1978. "Testing unstable econometric models for stability : An empirical study," Journal of Econometrics, Elsevier, vol. 8(2), pages 193-201, October.
    3. 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.
    4. 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.
    5. 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.
    6. James M. Brundy & Dale W. Jorgenson, 1971. "Efficient estimation of simultaneous equations by instrumental variables," Working Papers in Applied Economic Theory 3, Federal Reserve Bank of San Francisco.
    7. Klein, Lawrence R, 1969. "Estimation on Interdependent Systems in Macroeconometrics," Econometrica, Econometric Society, vol. 37(2), pages 171-192, April.
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    More about this item


    Nonlinear econometric models; characteristic roots; eigenvalues; asymptotic standard errors;

    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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