The UCM Procedure

References

  • Akaike, H. (1974), “A New Look at the Statistical Model Identification,” IEEE Transactions on Automatic Control, AC-19, 716–723.

  • Anderson, T. W. (1971), The Statistical Analysis of Time Series, New York: John Wiley & Sons.

  • Bloomfield, P. (2000), Fourier Analysis of Time Series, 2nd Edition, New York: John Wiley & Sons.

  • Box, G. E. P. and Jenkins, G. M. (1976), Time Series Analysis: Forecasting and Control, Rev. Edition, San Francisco: Holden-Day.

  • Bozdogan, H. (1987), “Model Selection and Akaike’s Information Criterion (AIC): The General Theory and Its Analytical Extensions,” Psychometrika, 52, 345–370.

  • Brockwell, P. J. and Davis, R. A. (1991), Time Series: Theory and Methods, 2nd Edition, New York: Springer-Verlag.

  • Burnham, K. P. and Anderson, D. R. (1998), Model Selection and Inference: A Practical Information-Theoretic Approach, New York: Springer-Verlag.

  • Cobb, G. W. (1978), “The Problem of the Nile: Conditional Solution to a Change Point Problem,” Biometrika, 65, 243–251.

  • de Jong, P. and Chu-Chun-Lin, S. (2003), “Smoothing with an Unknown Initial Condition,” Journal of Time Series Analysis, 24, 141–148.

  • de Jong, P. and Penzer, J. (1998), “Diagnosing Shocks in Time Series,” Journal of the American Statistical Association, 93, 796–806.

  • Durbin, J. and Koopman, S. J. (2001), Time Series Analysis by State Space Methods, Oxford: Oxford University Press.

  • Hannan, E. J. and Quinn, B. G. (1979), “The Determination of the Order of an Autoregression,” Journal of the Royal Statistical Society, Series B, 41, 190–195.

  • Harvey, A. C. (1989), Forecasting, Structural Time Series Models, and the Kalman Filter, Cambridge: Cambridge University Press.

  • Harvey, A. C. (2001), “Testing in Unobserved Components Models,” Journal of Forecasting, 20, 1–19.

  • Hodrick, R. J. and Prescott, E. C. (1997), “Postwar U.S. Business Cycles: An Empirical Investigation,” Journal of Money, Credit, and Banking, 29, 1–16.

  • Hurvich, C. M. and Tsai, C.-L. (1989), “Regression and Time Series Model Selection in Small Samples,” Biometrika, 76, 297–307.

  • Jones, R. H. (1980), “Maximum Likelihood Fitting of ARMA Models to Time Series with Missing Observations,” Technometrics, 22, 389–396.

  • Kohn, R. and Ansley, C. F. (1986), “Estimation, Prediction, and Interpolation for ARIMA Models with Missing Data,” Journal of the American Statistical Association, 81, 751–761.

  • Rodriguez, A. and Ruiz, E. (2010), “Bootstrap Prediction Mean Squared Errors of Unobserved States Based on the Kalman Filter with the Estimated Parameters,” Working Paper 10-03 (01), Statistics and Econometric Series, Departamento de Estadística, Universidad Carlos de Madrid.
    URL http://e-archivo.uc3m.es/bitstream/10016/6527/1/ws100301.pdf

  • Schwarz, G. (1978), “Estimating the Dimension of a Model,” Annals of Statistics, 6, 461–464.

  • West, M. and Harrison, J. (1999), Bayesian Forecasting and Dynamic Models, 2nd Edition, New York: Springer-Verlag.