Abstract
In this chapter we review selected special topics related to simultaneous equations. In Sections 25.2 and 25.3 we consider extensions of the tobit and probit models (Chapter 16) into the simultaneous equations framework. In Section 25.4 we consider systems of equations that describe disequilibrium situations, Section 25.5 contains a generalization of the usual error assumptions associated with simultaneous equations estimation, vector autoregressive disturbances. The important topic of rational expectations is reviewed in Section 25.6. Finally, procedures for updating parameter estimates using sample or nonsample information are considered in Section 25.7 in the context of a single equation model, and extensions to the simultaneous equations context briefly described.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Amemiya, T. (1973). Regression analysis when the dependent variable is truncated normal. Econometrica, 41, 997–1016.
Amemiya, T. (1974). Multivariate regression and simultaneous equation models when the dependent variables are truncated normal. Econometrica, 42, 999–1012.
Amemiya, T. (1979). The estimation of a simultaneous equation tobit model. International Economic Review, 20, 169–182.
Nelson, F. and Olson, L. (1978). Specification and estimation of a simultaneous equation model with limited dependent variables. International Economic Review, 19, 695–709.
References
Amemiya, T. (1974). A note on a Fair and Jaffee model. Econometrica, 42, 759–762.
Barro, R. J., and Grossman, H. I. (1971). A general disequilibrium model of income and employment. American Economic Review, 61, 82–93.
Berndt, E. K., Hall, B. H., Hall, R. E., and Hausman, J. A. (1974). Estimation and inference in nonlinear structural models. Annals of Economic and Social Measurement, 3, 653–665.
Bowden, R. J. (1978a). The Econometrics of Disequilibrium. Amsterdam: North-Holland.
Bowden, R. J. (1978b). Specification, estimation and inference for model of markets in disequilibrium. International Economic Review, 19, 711–726.
Clower, R. W. (1965). The Keynesian counter-revolution: a theoretical appraisal. In The Theory of Interest Rates. Edited by F. M. Hakn and F. P. R. Brechling. London: Macmillan.
Fair, R. C, and Jaffee, D. M. (1972). Methods of estimation for markets in disequilibrium. Econometrica, 40, 497–514.
Fair, R. C, and Kelejian, H. H. (1974). Method of estimation for markets in disequilibrium: a further study. Econometrica, 42, 177–190.
Goldfeld, S. M., and Quandt, R. E. (1975). Estimation in a disequilibrium model and the value of information. Journal of Econometrics, 3, 325–348.
Gourieroux, C, Laffont, J. J., and Monfort, A. (1980). Disequilibrium econometrics in simultaneous equations systems. Econometrica, 48, 75–96.
Hartley, M. J. (1976). The estimation of markets in disequilibrium: the fixed supply case. International Economic Review, 17, 687–699.
Hartley, M. J. and Mallela, P. (1977). The asumptotic properties of a maximum likelihood estimator for a model of markets in disequilibrium. Econometrica, 45, 1205–1220.
Ito, T. (1980). Methods of estimation for multi-market disequilibrium models. Econometrica, 48, 97–125.
Laffont, J. J., and Garcia, R. (1977). Disequilibrium econometrics for business loans. Econometrica, 45, 1187–1204.
Maddala, G. S., and Nelson, F. D. (1974). Maximum likelihood methods for models of markets in disequilibrium. Econometrica, 42, 1013–1030.
Patinkin, D. (1956). Money, Interest and Prices. New York: Harper & Row.
Portes, R. (1977). Effective demand and spillovers in empirical two-market disequilibrium models. Harvard Institute of Economic Research Discussion Paper No. 595, Harvard University.
Quandt, R. E. (1978). Tests of equilibrium vs. disequilibrium hypotheses. International Economic Review, 19, 435–452.
Rosen, H. S., and Quandt, R. E. (1978). Estimation of a disequilibrium aggregate labor market. Review of Economics and Statistics, 60, 371–379.
Ziemer, R. F., and White, F. C. (1982). Disequilibrium market analysis: an application to the U.S. fed beef sector. American Journal of Agricultural Economics, 64, 56–62.
References
Baillie, R. T. (1981). Prediction from the dynamic simultaneous equation model with vector autoregressive errors. Econometrica, 49, 1331–1337.
Brundy, J. M. and Jorgenson, D. W. (1971). Efficient estimation of simultaneous equations by instrumental variables. Review of Economics and Statistics, 53, 207–224.
Dhrymes, P. J. and Erlat, H. (1974). Asymptotic properties of full information estimators in dynamic autoregressive simultaneous equation models. Journal of Econometrics, 2, 247–259.
Fair, R. C. (1970). The estimation of simultaneous equation models with lagged endogenous variables and first order serially correlated errors. Econometrica, 38, 507–516.
Granger, C. W. J. and Newbold, P. (1977). Forecasting Economic Time Series. New York: Academic Press.
Guilkey, D. K. (1974). Alternative tests for a first-order vector autoregressive error specification. Journal of Econometrics, 2, 95–104.
Guilkey, D. K. (1975). A test for the presence of first-order vector autoregressive errors when lagged endogenous variables are present. Econometrica, 43, 711–717.
Guilkey, D. K. and Schmidt, P. (1973). Estimation of seemingly unrelated regressions with vector autoregressive errors. Journal of the American Statistical Association, 68, 642–647.
Hannan, E. J. and Terrell, R. D. (1973). Multiple equation systems with stationary errors. Econometrica, 41, 299–320.
Hatanaka, M. (1976). Several efficient two-step estimators for the dynamic simultaneous equations model with autoregressive disturbances. Journal of Econometrics, 4, 189–204.
Hendry, D. F. (1981). Maximum likelihood estimation of systems of simultaneous regression equations with errors generated by a vector autoregressive process. International Economic Review, 12, 257–272.
Knight, J. L. (1982). Asymptotic distribution of restricted reduced forms and dynamic multipliers in a linear dynamic model with vector autoregressive errors. International Economic Review, 23, 553–563.
Maritz, A. (1978). A note of correction to Guilkey’s test for serial independence in simultaneous equations models. Econometrica, 46, 471.
Schmidt, P. (1974). The asymptotic distribution of forecasts in the dynamic simulation of an econometric model. Econometrica, 42, 303–309.
Wallis, K. F. (1967). Lagged dependent variables and serially correlated errors: a reappraisal of three-pass least squares. Review of Economics and Statistics, 49, 555–567.
References
Aoki, M. and Canzoneri, M. (1979). Reduced forms of rational expectations models. Quarterly Journal of Economics, 93, 59–71.
Carlson, J. A. (1977). A study of price forecasts. Annals of Economics and Social Measurement, 6, 27–56.
Chavas, J. and Johnson, S. R. (1983). Rational expectations in econometric models. In New Directions in Econometric Modeling and Forecasting in U.S. Agriculture. Edited by C. R. Rausser. New York: Elsevier-North Holland.
Dalkey, N. C, Rourke, D. L., Lewis, R., and Snyder, D. (1972). Studies in the Quality of Life; Delphi Decision Making. Lexington, MA: Lexington Books.
Feldstein, M. (1971). The error of forecast in econometric models when the forecastperiod exogenous variables are stochastic. Econometrica, 39, 55–60.
Gardner, B. L. (1976). Futures prices in supply analysis. American Journal of Agricultural Economics, 58, 81–84.
Granger, C. W. J. and Newbold, P. (1977). Forecasting Economic Time Series. New York: Academic Press.
Hoffman, D. L. and Schmidt, P. (1981). Testing the restrictions implied by the rational expectations hypothesis. Journal of Econometrics, 15, 265–87.
Johnson, S. R. and Rausser, G. C. (1983). Composite forecasting in commodity systems. In New Directions in Econometric Modeling and Forecasting in U.S. Agriculture. Edited by G. C. Rausser. New York: Elsevier North-Holland.
McCallum, B. T. (1976a). Rational expectations and the estimation of econometric models: an alternative procedure. International Economic Review, 17, 485–490.
McCallum, B. T. (1976b). Rational expectations and the natural rate hypothesis: some consistent estimates. Econometrica, 44, 42–52.
Mullineaux, D. J. (1978). On testing for rationality: another look at the Livingston price expectations data. Journal of Political Economy, 86, 329–336.
Muth, J. F. (1961). Rational expectations and the theory of price movements. Econometrica, 29, 315–335.
Nelson, C. R. (1975a). Rational expectations and the estimation of econometric models. International Economic Review, 16, 555–561.
Nelson, C. R. (1975b). Rational expectations and predictive economic models. Journal of Business, 47, 331–343.
Nerlove, M. (1972). Lags in economic behavior. Econometrica, 40, 221–251.
Nerlove, M. (1958). Adaptive expectations and cobweb phenomena. Quarterly Journal of Economics, 73, 227–240.
Peck, A. E. (1976). Futures markets, supply responses and price stability. Quarterly Journal of Economics, 90, 407–423.
Popkin, J. (1975). Some avenues for the improvement of price forecasts generated by macroeconomic models. American Journal of Agricultural Economics, 57, 157–163.
Sargent, T. J. (1978). Rational expectations, econometric exogeneity and consumption. Journal of Political Economy, 86, 673–700.
Sargent, T. J. and Wallace, N. (1975). Rational expectations, the optimal monetary instrument and the optimal money supply rule. Journal of Political Economy, 83, 241–254.
Turnovsky, S. J. (1979). Futures markets, private storage, and price stabilization. Journal of Political Economy, 12, 301–327.
Woglom, J. (1979). Rational expectations and monetary policy in a simple macroeconomic model. Quarterly Journal of Economics, 59, 91–105.
References
Anderson, B. D. O. and Moore, J. B. (1978). Optimal Filtering. Englewood Cliffs, N.J.: Prentice-Hall, Inc. 1978.
Belsey, D. A. (1973a). On the determination of systematic parameter variation in the linear regression model. Annals of Economics and Social Measurement, 2, 487–494.
Belsey, D. A. (1973b). The applicability of the Kaiman filter in the determination of systematic parameter variation. Annals of Economics and Social Measurement, 2, 531–533.
Brook, R. and Wallace, T. D. (1973). A note on extraneous information in regression. Journal of Econometrics, 1, 315–316.
Chow, G. C. (1975). Analysis and Control of Dynamic Economic Systems. New York: Wiley.
Chow, G. C. (1981). Econometric Analysis by Control Methods. New York: Wiley.
Conard, W., and Corrado, C. (1979). Applications of the Kaiman filter to revisions in monthly retail sales estimates. Journal of Economic Dynamics and Control, 1, 177–198.
Covey-Crump, P. A. K. and Silvey, S. D. (1970). Optimal regression designs with previous observations. Biometrika, 62, 551–566.
Guttman, I. (1971). A remark on the optimal regression designs with previous observations of Covey-Crump and Silvey. Biometrica, 64, 683–684.
Kaiman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, D, 82, 95–108.
Kiefer, J. (1958). On the nonrandomized optimality and randomized nonoptimality of symmetrical designs. Annals of Mathematical Statistics, 29, 675–699.
MacRae, E. C. (1977). Optimal experimental design for dynamic econometric models. Annals of Economic and Social Measurement, 6, 399–405.
Murata, Y. (1982). Optimal Control Methods for Linear Discrete-Time Economic Systems. New York: Springer-Verlag.
Rausser, G. C., Mundlak, Y., and Johnson, S. R. (1983). Structural change, updating and forecasting. In New Directions in Econometric Modeling and Forecasting in U.S. Agriculture. Edited by G. Rausser. New York: Elsevier-North Holland.
Sage, A. P., and Melsa, J. L. (1971). Estimation Theory with Applications to Communications and Control. New York: McGraw-Hill.
Silvey, S. D. (1969). Multicollinearity and imprecise estimation. Journal of the Royal Statistical Society, B, 31, 539–552.
Theil, H. (1971). Principles of Econometrics. New York: Wiley.
Theil, H. (1974). Mixed estimation based on quasi-prior judgements. European Economic Review, 5, 33–40.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer Science+Business Media New York
About this chapter
Cite this chapter
Fomby, T.B., Johnson, S.R., Hill, R.C. (1984). Special Topics in Simultaneous Equations. In: Advanced Econometric Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8746-4_25
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8746-4_25
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96868-1
Online ISBN: 978-1-4419-8746-4
eBook Packages: Springer Book Archive