Bianchi, Carlo and Calzolari, Giorgio and Corsi, Paolo and Panattoni, Lorenzo (1980): Significance of the characteristic roots of linearized econometric models. Published in: Paper presented at the Economics and Control Conference, Princeton University (4 June 1980): pp. 1-14.
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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.
Item Type: | MPRA Paper |
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Original Title: | Significance of the characteristic roots of linearized econometric models |
Language: | English |
Keywords: | Nonlinear econometric models; characteristic roots; eigenvalues; asymptotic standard errors |
Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables |
Item ID: | 24882 |
Depositing User: | Giorgio Calzolari |
Date Deposited: | 25 Oct 2010 07:54 |
Last Modified: | 28 Sep 2019 04:38 |
References: | Bianchi, C., G.Calzolari and P.Corsi, "On the Stability of the Klein-I model", Economics Letters (1980), (forthcoming). Brundy, J. M., and D. W. Jorgenson (1971): "Efficient Estimation of Simultaneous Equations by Instrumental Variables", The Review of Economics and Statistics 53, 207-224. Dhrymes, P.,J., "Mathematics for Econometrics", New York, Springer-Verlag, (1978). Goldberger, A. S., A. L. Nagar and H. S. Odeh (1961): "The Covariance Matrices of Reduced-Form Coefficients and of Forecasts for a Structural Econometric Model", Econometrica 29, 556-573. Gustafson, E.F., "Testing Unstable Econometric Models for Stability: an Empirical Study", Journal of Econometrics, 8 (1978), 193-201. Klein, L.R., "Estimation of Interdependent Systems in Macroeconometrics", Econometrica, 37 (1969), 171-192. Kloek,T. and L.B.M.Mennes, "Simultaneous Equations Estimation Based on Principal Components of Predetermined Variables", Econometrica, 28 (1960), 45-61. Neudecker, H. and C. van de Panne, "Note on the Asymptotic Standard Errors of Latent Roots of Econometric Equation Systems", Review of the International Statistical Institute, 34 (1966), 43-47. Oberhofer, W. and J. Kmenta, "Estimation of Standard Errors of the Characteristic Roots of a Dynamic Econometric Model", Econometrica, 41 (1973), 171-177. Rao, C.R., Linear Statistical Inference and its Applications, New York: John Wiley, (1965). Sartori, F., "Caratteristiche e Struttura del Modello", in Un Modello Econometrico dell'Economia italiana; Caratteristiche e Impiego. Ispequaderni, Roma: 1 (1978), 9-36. Schmidt, P., "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, 42 (1974), 591-592. Theil, H. and J.C.G. Boot, "The Final Form of Econometric Equation Systems", Review of the International Statistical Institute, 30 (1962), 136-152. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/24882 |