Structural econometric modelling and time series analysis towards an integrated approach

In this paper we present the different approaches to modelling dynamic regression and structural equations• First, we give a survey of the traditional econometrie and the time series approaches to specification analysis of dynamic econometrie models. Then, we describe the three testing procedures that are presently available to the econometrician: (1) testing for misspecification or diagnostic checking, (2") specification analysis or interpretive search, and (3) checking the overall consistency of the model. Next, we outline the integrated structural econometrie modelling and time series analysis (SEMTSA) approach to modelling dynamic linear econometrie equations and point out how each of the three testing procedures can be used. We distinguish between an analysis under full information and one under limited information. Through the presentation of econometrie modelling and time series analysis as an integrated approach, we hope to promote its development and application in empirical econometrics. *) Economische Faculteit, Vrije Universiteit, Amsterdam. Some of the work reported in this paper has been done during the Warwick Summer Workshop 1979.

[1]  H. Theil Principles of econometrics , 1971 .

[2]  Larry D. Haugh,et al.  Identification of Dynamic Regression (Distributed Lag) Models Connecting Two Time Series , 1977 .

[3]  T. Anderson Statistical analysis of time series , 1974 .

[4]  D. Hendry The structure of simultaneous equations estimators , 1976 .

[5]  R. Reynolds Posterior Odds for the Hypothesis of Independence between Stochastic Regressors and Disturbances , 1982 .

[6]  M. Mouchart,et al.  Polynomial approximation of distributed lags and linear restrictions: A Bayesian approach , 1976 .

[7]  De-Min Wu,et al.  Alternative Tests of Independence between Stochastic Regressors and Disturbances , 1973 .

[8]  D. A. Pierce Distribution of Residual Autocorrelations in the Regression Model with Autoregressive-Moving Average Errors , 1971 .

[9]  Adrian Pagan,et al.  Some consequences of viewing LIML as an iterated Aitken estimator , 1979 .

[10]  D. Hendry Stochastic Specification in an Aggregate Demand Model of the United Kingdom , 1974 .

[11]  L. Godfrey TESTING AGAINST GENERAL AUTOREGRESSIVE AND MOVING AVERAGE ERROR MODELS WHEN THE REGRESSORS INCLUDE LAGGED DEPENDENT VARIABLES , 1978 .

[12]  Kenneth F. Wallis,et al.  Modelling Macroeconomic Time Series , 1976 .

[13]  A. Zellner,et al.  Time series analysis and simultaneous equation econometric models , 1974 .

[14]  Shirley Almon The Distributed Lag Between Capital Appropriations and Expenditures , 1965 .

[15]  David F. Hendry,et al.  Serial Correlation as a Convenient Simplification, not a Nuisance: A Comment on a Study of the Demand for Money by the Bank of England. , 1978 .

[16]  Denis Sargan,et al.  Some tests of dynamic specification for a single equation , 1980 .

[17]  Kenneth F. Wallis,et al.  Econometric Implications of the Rational Expectations Hypothesis , 1980 .

[18]  Andrew Harvey,et al.  Testing for Serial Correlation in Simultaneous Equation Models , 1980 .

[19]  James Davidson,et al.  Econometric Modelling of the Aggregate Time-Series Relationship Between Consumers' Expenditure and Income in the United Kingdom , 1978 .

[20]  J. D. Sargan,et al.  The Consumer Price Equation in the Post War British Economy: An Exercise in Equation Specification Testing , 1980 .

[21]  Charles A. Ingene,et al.  Specification Searches: Ad Hoc Inference with Nonexperimental Data , 1980 .

[22]  Maurice Henry Quenouille,et al.  The analysis of multiple time-series , 1957 .

[23]  Adrian Pagan,et al.  The Lagrange Multiplier Test and its Applications to Model Specification in Econometrics , 1980 .

[24]  Salih N Nefti Lead-Lag Relations, Exogeneity and Prediction of Economic Time Series , 1979 .

[25]  S. D. Silvey,et al.  The Lagrangian Multiplier Test , 1959 .

[26]  R. Farebrother A REMARK ON THE WU TEST , 1976 .

[27]  L. Godfrey,et al.  Testing for Serial Correlation in Dynamic Simultaneous Equation Models , 1976 .

[28]  H. B. Gamble,et al.  Systems simulation for regional analysis: an application to river-basin planning. , 1969 .

[29]  T. Amemiya,et al.  Selecting the Optimal Order of Polynomial in the Almon Distributed Lag , 1974 .

[30]  Jacques H. Dreze,et al.  Bayesian Limited Information Analysis of the Simultaneous Equations Model , 1976 .

[31]  A. Zellner Causality and econometrics , 1979 .

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

[33]  Calyampudi Radhakrishna Rao,et al.  Linear Statistical Inference and its Applications , 1967 .

[34]  David F. Hendry,et al.  Testing Dynamic Specification in Small Simultaneous Systems: An Application to a Model of Building Society Behavior in the United Kingdom , 1975 .

[35]  David F. Hendry,et al.  Liquidity and Inflation Effects on Consumers' Expenditure , 1981 .

[36]  N. E. Savin,et al.  The Bonferroni and the Scheffé multiple comparison procedures , 1980 .

[37]  Peter Schmidt,et al.  ON THE ESTIMATION OF TRIANGULAR STRUCTURAL SYSTEMS , 1978 .

[38]  T. Kloek,et al.  Simultaneous Equations Estimation Based on Principal Components of Predetermined Variables , 1960 .

[39]  K. Wallis Multiple Time Series Analysis and the Final Form of Econometric Models , 1977 .