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The ‘derived’ moving-average model and its role in causality

Published online by Cambridge University Press:  14 July 2016

Abstract

In the situations where restrictions on the multivariate subset AR model are known, we propose methods of providing suitable standard errors of estimate and prediction which assist in assessing the importance of the coefficients appearing the ‘derived' moving-average (MA) model. The coefficient patterns of the derived moving-average model are proposed as an alternative basis for detecting Granger-causality.

Type
Part 2—Estimation for Time Series
Copyright
Copyright © 1986 Applied Probability Trust 

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References

Baillie, R. T. (1981) Prediction from the dynamic simultaneous equation model with vector autoregression errors. Econometrica 49, 13311337.Google Scholar
Baillie, R. T. (1982) Asymptotic standard errors for moving average representation coefficients. Working Paper, University of Birmingham.Google Scholar
Caines, P. E., Keng, C. W. and Sethi, S. P. (1981) Causality analysis and multivariate autoregressive modelling with an application to supermarket sales analysis. J. Economic Dynamics and Control 3, 267298.CrossRefGoogle Scholar
Geweke, J. (1978) Testing the exogeneity specification in the complete dynamic simultaneous equation model. J. Econometrics 7, 163186.CrossRefGoogle Scholar
Geweke, J. (1981) Inference and causality in economic time series models. In Handbook of Econometrics , ed. Griliches, Z. and Intrilligator, M. North-Holland, Amsterdam.Google Scholar
Geweke, J. (1982) Measurement of linear dependence and feedback between multiple time series. J. Amer. Statist. Assoc. 77, 304313.CrossRefGoogle Scholar
Granger, C. W. J. (1963) Economic processes involving feedback. Information and Control 6, 2848.Google Scholar
Granger, C. W. J. (1969) Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37, 424438.Google Scholar
Hannan, E. J. (1981) Estimating the dimension of a linear system. J. Multivariate Anal. 11, 474497.Google Scholar
Hannan, E. J. and Quinn, B. G. (1979) The determination of the order of an autoregression. J. R. Statist. Soc. B 41, 190195.Google Scholar
Hatanaka, M. and Odaki, M. (1983) Policy analyses with and without a priori conditions. Mimeo, Osaka University.Google Scholar
Hsaio, C. (1979) Autoregressive modelling of Canadian money and income data. J. Amer. Statist. Assoc. 74, 553560.Google Scholar
Hsaio, C. (1982) Autoregressive modelling and causal ordering of economic variables. J. Economic Dynamics and Control 4, 243259.Google Scholar
Mcclave, J. (1975) Subset autoregression. Technometrics 17, 213220.CrossRefGoogle Scholar
Penm, J. H. W. and Terrell, R. D. (1982) On the recursive fitting of subset autoregressions. J. Time Series Analysis 3, 4359.Google Scholar
Penm, J. H. W. and Terrell, R. D. (1984a) Multivariate subset autoregressive modelling with zero constraints for detecting Granger-causality at all. J. Econometrics No. 3, 311330.CrossRefGoogle Scholar
Penm, J. H. W. and Terrell, R. D. (1984b) Multivariate subset autoregression. Commun. Statist-Simulations , 13, 449461.Google Scholar
Schmidt, P. (1974) The asymptotic distribution of forecasts in the dynamic simulation of an econometric model. Econometrica 42, 303309.Google Scholar
Schwarz, G. (1978) Estimating the dimension of a model. Ann. Statist. 6, 461464.Google Scholar
Sims, C. A. (1972) Money, income and causality. Amer. Econom. Rev. 62, 540552.Google Scholar
Sims, C. A. (1977) Comment. J. Amer. Statist. Assoc. 72, 2334.Google Scholar
Sims, C. A. (1980) Macro-economics and reality. Econometrica 48, 148.CrossRefGoogle Scholar
Tjøstheim, D. (1981) Granger-causality in multiple time series. J. Econometrics 17, 157176.Google Scholar
Yamamoto, T. (1976) Asymptotic mean square prediction error for an autoregressive model with estimated coefficients. J. R. Statist. Soc. C 25, 123127.Google Scholar