IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/24882.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/24882/1/MPRA_paper_24882.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    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)

    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. Bianchi, Carlo & Brillet, Jean-Louis & Calzolari, Giorgio, 1983. "Analysis and measurement of the uncertainty in Mini-Dms model for the French economy," MPRA Paper 29056, University Library of Munich, Germany.
    2. Bianchi, Carlo & Brillet, Jean-Louis & Calzolari, Giorgio, 1984. "Analyse et mesure de l'incertitude en prevision d'un modele econometrique. Application au modele mini-DMS [Analysis and measurement of forecast uncertainty in an econometric model. Application to m," MPRA Paper 22565, University Library of Munich, Germany, revised 1984.
    3. Bianchi, Carlo & Calzolari, Giorgio & Sartori, Franco, 1982. "Stime 2SLS con componenti principali di un modello non lineare dell' economia italiana [2SLS with principal components: estimation of a nonlinear model of the Italian economy]," MPRA Paper 22665, University Library of Munich, Germany, revised 1982.
    4. Calzolari, Giorgio & Panattoni, Lorenzo, 1983. "Hessian and approximated Hessian matrices in maximum likelihood estimation: a Monte Carlo study," MPRA Paper 28847, University Library of Munich, Germany.
    5. Bianchi, Carlo & Calzolari, Giorgio, 1982. "Evaluating forecast uncertainty due to errors in estimated coefficients: empirical comparison of alternative methods," MPRA Paper 22559, University Library of Munich, Germany.
    6. Calzolari, Giorgio & Panattoni, Lorenzo, 1984. "Evaluating Forecast Uncertainty in Econometric Models: The Effect of Alternative Estimators of Maximum Likelihood Covariance Matrix," MPRA Paper 28806, University Library of Munich, Germany.
    7. Bianchi, Carlo & Calzolari, Giorgio & Corsi, Paolo & Panattoni, Lorenzo, 1985. "Asymptotic properties of dynamic multipliers in nonlinear econometric models," MPRA Paper 24401, University Library of Munich, Germany.
    8. Calzolari, Giorgio & Panattoni, Lorenzo, 1984. "A Simulation Study on FIML Covariance Matrix," MPRA Paper 28804, University Library of Munich, Germany.
    9. Bianchi, Carlo & Calzolari, Giorgio & Brillet, Jean-Louis, 1987. "Measuring forecast uncertainty : A review with evaluation based on a macro model of the French economy," International Journal of Forecasting, Elsevier, vol. 3(2), pages 211-227.
    10. John Geweke & Joel Horowitz & M. Hashem Pesaran, 2006. "Econometrics: A Bird’s Eye View," CESifo Working Paper Series 1870, CESifo.
    11. Calzolari, Giorgio & Sampoli, Letizia, 1989. "Instrumental variables interpretations of FIML and nonlinear FIML," MPRA Paper 29024, University Library of Munich, Germany.
    12. Jeong Hwan Bae & Dmitriy D. Li & Meenakshi Rishi, 2017. "Determinants of CO emission for post-Soviet Union independent countries," Climate Policy, Taylor & Francis Journals, vol. 17(5), pages 591-615, July.
    13. V. Vance Roley, 1980. "Symmetry Restrictions in a System of Financial Asset Demands: A Theoretical and Empirical Analysis," NBER Working Papers 0593, National Bureau of Economic Research, Inc.
    14. Arthur Goldberger, 1971. "Econometrics and psychometrics: A survey of communalities," Psychometrika, Springer;The Psychometric Society, vol. 36(2), pages 83-107, June.
    15. Dale W. Jorgenson & Jean-Jacques Laffont, 1974. "Efficient Estimation of Nonlinear Simultaneous Equations with Additive Disturbances," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 615-640, National Bureau of Economic Research, Inc.
    16. Benjamin M. Friedman & V. Vance Roley, 1981. "Structural Models of Interest Rate Determination and Portfolio Behavior in the Corporate and Government Bond Markets," NBER Working Papers 0205, National Bureau of Economic Research, Inc.
    17. Martin Fukač & Adrian Pagan, 2010. "Limited information estimation and evaluation of DSGE models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(1), pages 55-70, January.
    18. Benjamin M. Friedman, 1979. "The Determination of Long-Term Interest Rates: Implications for Monetary and Fiscal Policies," NBER Working Papers 0366, National Bureau of Economic Research, Inc.
    19. Robinson, Peter M., 2003. "Denis Sargan: some perspectives," LSE Research Online Documents on Economics 292, London School of Economics and Political Science, LSE Library.
    20. Calzolari, Giorgio & Panattoni, Lorenzo, 1985. "Gradient methods in FIML estimation of econometric models," MPRA Paper 24843, University Library of Munich, Germany.

    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

    Statistics

    Access and download statistics

    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:pra:mprapa:24882. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.