The Stochastic Coefficients Approach to Econometric Modeling, Part III: Estimation, Stability Testing, and Prediction

In this final article of our three-part series, we demonstrate why stochastic coefficients models are well suited to predict future variables We analyze the forecasting problem and consider various criteria of prediction If a forecaster must choose one from among several coherent predictors, then the choice should be the one with the best track record Decomposing the forecast error shows that stochastic coefficients models can cover more possible sources of prediction error and correct for them The empirical record shows that stichastic coefficients models can substantially reduce out-of-sample forecast errors more than fixed coefficients models Our assessment of coefficient stability tests is they are contradictory , misleading, and without empirical value

[1]  H. Jeffreys A Treatise on Probability , 1922, Nature.

[2]  H. Jeffreys,et al.  The Theory of Probability , 1896 .

[3]  A. Zellner An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggregation Bias , 1962 .

[4]  A. Zellner An Introduction to Bayesian Inference in Econometrics , 1971 .

[5]  P. A. V. B. Swamy,et al.  Bayesian and Non-Bayesian Analysis of Switching Regressions and of Random Coefficient Regression Models , 1975 .

[6]  David A. Harville,et al.  Extension of the Gauss-Markov Theorem to Include the Estimation of Random Effects , 1976 .

[7]  J. Chipman Estimation and Aggregation in Econometrics: An Application of the Theory of Generalized Inverses , 1976 .

[8]  R. Shibata Selection of the order of an autoregressive model by Akaike's information criterion , 1976 .

[9]  Peter A. Tinsley,et al.  Linear prediction and estimation methods for regression models with stationary stochastic coefficients , 1980 .

[10]  R. Shibata Asymptotically Efficient Selection of the Order of the Model for Estimating Parameters of a Linear Process , 1980 .

[11]  M. Degroot,et al.  Only Normal Distributions Have Linear Posterior Expectations in Linear Regression , 1980 .

[12]  E. Hannan The Estimation of the Order of an ARMA Process , 1980 .

[13]  G. Reinsel,et al.  Multivariate Repeated-Measurement or Growth Curve Models with Multivariate Random-Effects Covariance Structure , 1982 .

[14]  P. Swamy,et al.  An examination of distributed lag model coefficients estimated with smoothness priors , 1984 .

[15]  Roger K. Conway,et al.  The foundations of econometrics–are there any , 1984 .

[16]  G. Chow,et al.  Chapter 21 Random and changing coefficient models , 1984 .

[17]  David Oakes,et al.  Self-Calibrating Priors Do Not Exist , 1985 .

[18]  R. Conway,et al.  The Structure of Agricultural Investment: Comparing a Flexible Accelerator with Stochastic Coefficients , 1985 .

[19]  P. Swamy,et al.  Should fixed coefficients be reestimated every period for extrapolation , 1986 .

[20]  Arnold Zellner,et al.  Macroeconomic Forecasting Using Pooled International Data , 1987 .

[21]  R. Conway,et al.  Is the Phillips curve stable? A time-varying parameter approach , 1991 .

[22]  Lee R. Thomas,et al.  Monetary/asset models of exchange rate determination: How well have they performed in the 1980's? , 1987 .

[23]  Michael LeBlanc,et al.  The Stochastic Coefficients Approach to Econometric Modeling, Part II: Description and Motivation , 1988 .

[24]  Arnold Zellner,et al.  Bayesian analysis in econometrics , 1988 .

[25]  Richard D. Porter,et al.  Further results on estimating linear regression models with partial prior information , 1988 .

[26]  Christian C. P. Wolff Research on forecastingTime-varying parameters and the out-of-sample forecasting performance of structural exchange rate models: Christian C.P. Wolff, Journal of Business & Economic Statistics 5 (1987) 87–97 , 1988 .

[27]  Michael LeBlanc,et al.  The Stochastic Coefficients Approach to Econometric Modeling Part I: A Critique of Fixed Coefficients Models , 1988 .

[28]  Michael LeBlanc,et al.  A forecast evaluation of capital investment in agriculture , 1990 .

[29]  S. Mittnik Macroeconomic Forecasting Using Pooled International Data , 1990 .