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A multivariate time series approach to modelling macroeconomic sequences

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Abstract

In this paper we discuss a multivariate generalization of autoregressive integrated moving average models. A methodology for constructing multivariate time series models is developed and the derivation of forecasts from such models is considered. A bivariate model for Austrian macroeconomic sequences is constructed. Furthermore it is discussed whether multivariate time series methods can be expected to lead to a significant increase in prediction accuracy when forecasting macroeconomic series.

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References

  • Anderson, T.W.: An Introduction to Multivariate Statistical Analysis. New York 1958.

  • Box, G.E.P., andD.R. Cox: An Analysis of Transformations. Journal of Royal Stat. Soc., B26, 1964, 211–243.

    Google Scholar 

  • Box, G.E.P., andG.M. Jenkins: Time Series Analysis, Forecasting and Control. San Francisco 1970.

  • —: Some comments on a paper by Chatfield and Prothero and on a review by Kendall. Journal of Royal Stat. Soc., A135, 1973, 337–345.

    Google Scholar 

  • Box, G.E.P., andP. Newbold: Some comments on a paper of Coen, Gomme and Kendall. Journal of Royal Stat. Soc., A134, 1971, 229–240.

    Google Scholar 

  • Box, G.E.P., andD.A. Pierce: Distribution of Residual Autocorrelations in Autoregressive Integrated Moving Average Time Series Models, JASA65, 1970, 1509–1526.

    Google Scholar 

  • Christ, C.F.: Judging the Performance of Econometric Models of the U.S. Economy, Int. Econ. Rev.16, 1975, 54–74.

    Google Scholar 

  • Cooper, R.L.: The Predictive Performance of Quarterly Econometric Models of the United States. Econometric Models of Cyclical Behavior, hrsg. von B.G. Hickman. New York 1972.

  • Cramer, R.H., andR.B. Miller: Dynamic Modelling of Multivariate Time Series for Use in Bank Analysis. Journal of Money, Credit and Banking8, 1976, 85–96.

    Google Scholar 

  • Draper, N.R., andH. Smith: Applied Regression Analysis. New York 1966.

  • Feige, E.L., andD.K. Pearce: The Causality Relationship between Money and Income: A Time Series Approach, paper presented at the Annual Meeting of the Midwest Economic Association. Chicago, April, 1974.

  • Granger, C.W.J.: Investigating Causal Relations by Econometric Models and Cross Spectral Methods. Econometrica37, 1969, 424–438.

    Google Scholar 

  • Granger, C.W.J., andP. Newbold: Forecasting Economic Time Series. New York 1977.

  • Hannan, E.J.: The Identification of Vector Mixed Autoregressive Moving Average Systems. Biometrika56, 1969, 223–225.

    Google Scholar 

  • -: Multiple Time Series. New York 1970.

  • Haugh, L.D., andG.E.P. Box: Identification of Dynamic Regression (Distributed Lag) Models Connecting Two Time Series. JASA72, 1977, 121–130.

    Google Scholar 

  • Hillmer, S.C.: Time Series: Estimation, Smoothing and Seasonal Adjusting. Ph.D. Thesis, Department of Statistics. Madison 1976.

    Google Scholar 

  • Jenkins, G.M.: The Interaction Between the Muscrat and Mink Cycles in North Canada. Editura Akademiei Republicii Socialiste Romania. Proceedings of the 8th Biometric Conference. Bucharest 1975, 57–71.

  • Ledolter, J., F. Schebeck, andG. Thury: Box-Jenkins Methoden — Alternative Verfahren zur Prognose ökonomischer Zeitreihen. Empirica, 1977, 25–55.

  • Narasimham, G.V.L., andN.D. Singpurwalla: Comparison of Box-Jenkins and BEA Quarterly Econometric Model Predictive Performance. Proceedings of the American Statistical Association, Business and Economic Statistics Section. Washington, D.C., 1974, 501–504.

  • Naylor, T.H., T.G. Seaks, andD.W. Wichern: Box-Jenkins Methods: An Alternative to Econometric Models. Int. Stat. Rev.40, 1972, 123–139.

    Google Scholar 

  • Nelson, C.R.: The Predictive Performance of the FRB-MIT-PENN Model of the U.S. Economy. Amer. Econ. Rev.62, 1972, 902–917.

    Google Scholar 

  • Parzen, E.: Multiple Time Series Modelling. Multivariate Analysis II, hrsg. von P. Krishnaiah. New York 1969.

  • Pierce, D.A.: Relationships — and the Lack thereof — Between Economic Time Series, with Special Reference to Money and Interest Rates, (with discussion). JASA72, 1977, 11–26.

    Google Scholar 

  • Prothero, D.L., andK.F. Wallis: Modelling Macroeconomic Time Series (with discussion). Journal of Royal Stat. Soc.,A 139, 1976, 468–486.

    Google Scholar 

  • Quenouille, M.H.: The Analysis of Multiple Time Series. London 1957.

  • Tintner, G., andG. Kadekodi: A Note on the Use of Transformations and Differences in the Estimation of Econometric Relations. Sankhya,B 35, 1971, 263–277.

    Google Scholar 

  • WIFO Monatsberichte 9/1976. Österreichisches Institut für Wirtschaftsforschung.

  • Wilson, G.: The Estimation of Parameters in Multivariate Time Series Models. Journal of Royal Stat. Soc.,B 35, 1973, 76–85.

    Google Scholar 

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Ledolter, J. A multivariate time series approach to modelling macroeconomic sequences. Empirical Economics 2, 225–243 (1977). https://doi.org/10.1007/BF01760409

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  • DOI: https://doi.org/10.1007/BF01760409

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