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Fisher's information matrix for seasonal autoregressive-moving average models

Author

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  • André Klein
  • Guy Melard

Abstract

Two procedures are described for obtaining Fisher's information matrix of a multiplicative seasonal autoregressive-moving average process. They can be useful in determining the asymptotic covariance matrix of Gaussian maximum likelihood estimators of the parameters. Components of the information matrix are expressed in the first procedure as integrals of rational functions. The second procedure makes use of the autocorrelation function of several autoregressive processes.

Suggested Citation

  • André Klein & Guy Melard, 1990. "Fisher's information matrix for seasonal autoregressive-moving average models," ULB Institutional Repository 2013/13718, ULB -- Universite Libre de Bruxelles.
    • Handle: RePEc:ulb:ulbeco:2013/13718
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    Cited by:

    1. André Klein & Guy Melard & Toufik Zahaf, 1998. "Computation of the exact information matrix of Gaussian dynamic regression time series models," ULB Institutional Repository 2013/13738, ULB -- Universite Libre de Bruxelles.
    2. André Klein & Guy Mélard, 2004. "An algorithm for computing the asymptotic fisher information matrix for seasonal SISO models," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(5), pages 627-648, September.
    3. Boubacar Mainassara, Y. & Carbon, M. & Francq, C., 2012. "Computing and estimating information matrices of weak ARMA models," Computational Statistics & Data Analysis, Elsevier, vol. 56(2), pages 345-361.
    4. André Klein & Guy Melard, 1994. "The information matrix of multiple input single output time series models," ULB Institutional Repository 2013/13732, ULB -- Universite Libre de Bruxelles.
    5. André Klein & Guy Melard, 1995. "Computation of the Fisher information matrix for time series models," ULB Institutional Repository 2013/13736, ULB -- Universite Libre de Bruxelles.
    6. André Klein & Guy Melard, 1994. "Computation of the Fisher information matrix for SISO models," ULB Institutional Repository 2013/13728, ULB -- Universite Libre de Bruxelles.
    7. André Klein & Guy Melard, 2004. "An algorithm for computing the asymptotic Fisher information matrix for seasonal SISO models," ULB Institutional Repository 2013/13746, ULB -- Universite Libre de Bruxelles.
    8. Klein, A. & Spreij, P., 1993. "On Fisher's information matrix of an ARMA process and Sylvester's resultant matrix," Serie Research Memoranda 0033, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.

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