The VARMAX Procedure

References

  • Anderson, T. W. (1951), “Estimating Linear Restrictions on Regression Coefficients for Multivariate Normal Distributions,” Annals of Mathematical Statistics, 22, 327–351.

  • Ansley, C. F. and Newbold, P. (1979), “Multivariate Partial Autocorrelations,” in Proceedings of the Business and Economic Statistics Section, Washington, DC: American Statistical Association.

  • Bollerslev, T. (1990), “Modeling the Coherence in Short-Run Nominal Exchange Rates: A Multivariate Generalized ARCH Model,” Review of Economics and Statistics, 72, 498–505.

  • Ding, Z., Granger, C. W. J., and Engle, R. F. (1993), “A Long Memory Property of Stock Market Returns and a New Model,” Journal of Empirical Finance, 1, 83–106.

  • Engle, R. F. (2002), “Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models,” Journal of Business and Economic Statistics, 20, 339–350.

  • Engle, R. F. and Granger, C. W. J. (1987), “Co-integration and Error Correction: Representation, Estimation, and Testing,” Econometrica, 55, 251–276.

  • Engle, R. F. and Kroner, K. F. (1995), “Multivariate Simultaneous Generalized ARCH,” Econometric Theory, 11, 122–150.

  • Engle, R. F. and Ng, V. K. (1993), “Measuring and Testing the Impact of News on Volatility,” Journal of Finance, 48, 1749–1778.

  • Glosten, L., Jaganathan, R., and Runkle, D. (1993), “Relationship between the Expected Value and Volatility of the Nominal Excess Returns on Stocks,” Journal of Finance, 48, 1779–1802.

  • Golub, G. H. and Van Loan, C. F. (1983), Matrix Computations, Baltimore: Johns Hopkins University Press.

  • Goodnight, J. H. (1979), “A Tutorial on the Sweep Operator,” American Statistician, 33, 149–158.

  • Hosking, J. R. M. (1980), “The Multivariate Portmanteau Statistic,” Journal of the American Statistical Association, 75, 602–608.

  • Johansen, S. (1988), “Statistical Analysis of Cointegration Vectors,” Journal of Economic Dynamics and Control, 12, 231–254.

  • Johansen, S. (1995a), Likelihood-Based Inference in Cointegrated Vector Autoregressive Models, New York: Oxford University Press.

  • Johansen, S. (1995b), “A Statistical Analysis of Cointegration for I(2) Variables,” Econometric Theory, 11, 25–59.

  • Johansen, S. and Juselius, K. (1990), “Maximum Likelihood Estimation and Inference on Cointegration: With Applications to the Demand for Money,” Oxford Bulletin of Economics and Statistics, 52, 169–210.

  • Koreisha, S. and Pukkila, T. (1989), “Fast Linear Estimation Methods for Vector Autoregressive Moving Average Models,” Journal of Time Series Analysis, 10, 325–339.

  • Litterman, R. B. (1986), “Forecasting with Bayesian Vector Autoregressions: Five Years of Experience,” Journal of Business and Economic Statistics, 4, 25–38.

  • Lütkepohl, H. (1993), Introduction to Multiple Time Series Analysis, 2nd Edition, Berlin: Springer-Verlag.

  • Nelson, D. B. (1991), “Conditional Heteroskedasticity in Asset Returns: A New Approach,” Econometrica, 59, 347–370.

  • Nelson, D. B. and Cao, C. Q. (1992), “Inequality Constraints in the Univariate GARCH Model,” Journal of Business and Economic Statistics, 10, 229–235.

  • Osterwald-Lenum, M. (1992), “A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics,” Oxford Bulletin of Economics and Statistics, 54, 461–472.

  • Pringle, R. M. and Rayner, A. A. (1971), Generalized Inverse Matrices with Applications to Statistics, New York: Hafner Publishing.

  • Quinn, B. G. (1980), “Order Determination for a Multivariate Autoregression,” Journal of the Royal Statistical Society, Series B, 42, 182–185.

  • Reinsel, G. C. (1997), Elements of Multivariate Time Series Analysis, 2nd Edition, New York: Springer-Verlag.

  • Spliid, H. (1983), “A Fast Estimation for the Vector Autoregressive Moving Average Models with Exogenous Variables,” Journal of the American Statistical Association, 78, 843–849.

  • Stock, J. H. and Watson, M. W. (1988), “Testing for Common Trends,” Journal of the American Statistical Association, 83, 1097–1107.

  • Zakoian, J. M. (1994), “Threshold Heteroscedastic Models,” Journal of Economic Dynamics and Control, 18, 931–955.