Bianchi, Carlo and Calzolari, Giorgio (1983): Confidence intervals of forecasts from nonlinear econometric models. Published in: paper presented at The Third International Symposium on Forecasting. Philadelphia: The Wharton School, June 5-8 (5. June 1983): pp. 1-20.
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Several methods have been proposed in the last few years for evaluating uncertainty in forecasts produced by nonlinear econometric models. Some methods resort to Monte Carlo, while others resort to different simulation techniques. This work aims at comparing these methods by means of experiments on some econometric models of small, medium and large size, used in practice for forecasting purposes. In most cases of practical interest, direct simulation of confidence intervals allows to overcome the difficulties connected with the nonexistence of finite second order moments, often encountered by the authors when applying Monte Carlo methods to real world models.
|Item Type:||MPRA Paper|
|Original Title:||Confidence intervals of forecasts from nonlinear econometric models|
|Keywords:||Nonlinear econometric models; stochastic simulation; forecast; confidence intervals|
|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
|Depositing User:||Giorgio Calzolari|
|Date Deposited:||03. Mar 2011 20:00|
|Last Modified:||17. Feb 2013 21:27|
Amemiya,T. (1977), "The Maximum Likelihood and the Nonlinear Three-Stage Least Squares in the General Nonlinear Simultaneous Equation Model", Econometrica 45, 955-968.
Bianchi,C. and G.Calzolari (1980), "The One-Period Forecast Errors in Noninear Econometric Models", International Economic Review 21, 201-208.
Bianchi,C. and G.Calzolari (1982), "Evaluating Forecast Uncertainty Due to Errors in Estimated Coefficients: Empirical Comparison of Alternative Methods", in Evaluating the Reliability of Macroeconomic Models, ed. by G.C.Chow and P.Corsi. New York: John Wiley, 251-217.
Bianchi,C. and G.Calzolari (1983), "Standard Errors of Forecasts in Dynamic Simulation of Nonlinear Econometric MOdels: Some Empirical Results", in Time Series Analysis- Theory and Practice 3, ed. by O.O.Anderson. Amsterdam: North Holland (forthcoming).
Brundy,J.M. and D.W.Jorgenson (1971), "Efficient Estimation of Simu1taneous Equations by Instrumental variables", The Review of Economics and Statistics 53, 207-224.
Calzolari,G. (1979), "Antithetic Variates to Estimate the Simulation Bias in Non-Linear Models", Economics Letters 4, 323-328.
Calzolari,G. (1981), "A Note on the Variance of Ex-Post Forecasts in Econometric Models", Econometrica 49, 1593-1595.
Cooper,J.P. and S.Fischer (1974), "Monetary and Fiscal Policy in the Fully Stochastic St.Louis Econometric Model", Journal of Money, Credit, and Banking 6, 1-22.
Fair,R.C. (1980), "Estimating the Expected Predictive Accuracy of Econometric Models", International Economic Review 21,355-378.
Gallant,A.R. (1977), "Three-Stage Least-Squares Estimation for a System of Simultaneous, Nonlinear, Implicit Equations", Journal of Econometrics 5, 71-88.
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, 556-513.
Intriligator,M.O. (1978), Econometric Models, Techniques, and Applications. Amsterdam: North Holland.
Klein, L.R. ( 1950) , Economic Fluctuations in the United States, 1921-1941. New YorK: John Wiley, Cowles Commission Monograph 11.
Klein,L.R. and R.M.Young (1980), An Introduction to Econometric Forecasting and Forecasting Models. Lexington: O.C.Heath and Company.
Krelle.W. (1976), "Das Bonner Prognosemodell 10". Teil I, "Reales Modell, Universitaet Bonn, lnstitut fuer Gesellschafts-und Wirtschaftswissenschaften, Wirtschaftstheoretische Abteilung, discussion paper.
Mariano,R.S. (1982), "Analytical Small-Sample Distribution Theory in Econometrics: The Simultaneous Equations Case", International Economic Review 23, 503-533.
Mariano,R.S. and B.W.Brown (1980), "Asymptotic Behavior of Predictors in a Nonlinear Simultaneous System". University of Pennsylvania, The Wharton School, Department of Economics, discussion paper No.410.
McCarthy,M.D. (1972), "Some Notes on the Generation of Pseudo-Structural Errors for Use in Stochastic Simulation Studies", in Econometric Models of Cyclical Behavior, ed. by B.G.Hickman. New York: NBER, Studies in Income and Wealth No.36. 185-191.
McCarthy,M.D. (1981), "Notes on the Existence of Moments of Restricted Reduced Form Estimates". University of Pennsylvania, discussion paper.
Rao,C.R. (1973), Linear Statistical Inference and its Applications, New York: John Wiley.
Sartori ,F. (1978), "Caratteristiche e Struttura del Modello", in Un Modello Econometrico dell'Economia Italiana; Caratteristiche e Impiego. Roma: Ispequaderni 1,9-36.
Schink,G.R. (1971.), "Small Sample Estimates of the Variance Covariance Matrix of Forecast Error for Large Econometric Models: The Stochastic Simulation Technique". University of Pennsylvania, Ph.D. dissertation.
Schmidt,P. (1974), "The Asymptotic Distribution of Forecasts in the Dynamic Simulation of an Econometric Model", Econometrica 42, 303-309.
Schmidt,P. (1976), Econometrics. New York: Marcel Dekker.
Theil,H. (1971), Principles of Econometrics. New York: John Wiley.