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The information matrix of multiple input single output time series models

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  • André Klein
  • Guy Melard

Abstract

Expressions are given for the information matrix of the parameters of the multiple-input single-output time series model for correlated and uncorrelated inputs, allowing lags between inputs. The model under consideration is a generalization of the multiple-regression model with autocorrelated errors, the transfer function model and the autoregressive moving average exogenous (ARMAX) model. The elements of the Fisher matrix are evaluated using algorithms developed for the univariate ARMA model.

Suggested Citation

  • 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.
    • Handle: RePEc:ulb:ulbeco:2013/13732
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    References listed on IDEAS

    as
    1. André Klein & Guy Melard, 1989. "On algorithms for computing the covariance matrix of estimates in autoregresive-moving average processes," ULB Institutional Repository 2013/13710, ULB -- Universite Libre de Bruxelles.
    2. Newton, H. Joseph, 1978. "The information matrices of the parameters of multiple mixed time series," Journal of Multivariate Analysis, Elsevier, vol. 8(2), pages 317-323, June.
    3. 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.
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    Citations

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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. 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.
    4. 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.

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