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On Ergodicity of Some TAR(2) Processes


  • Naoto Kunitomo

    (Faculty of Economics, University of Tokyo.)


We give a set of conditions for the geometrical ergodicity and the non-explosiveness of the solutions in the second-order threshold autoregressive (TAR) processes. We also discuss some conditions for the geometrical ergodicity of the second-order simultaneous switching autoregressive (SSAR) processes. Unlike the linear autoregressive processes and the first-order TAR processes, the ergodic and non-explosive regions become quite complicated even in some special TAR processes.

Suggested Citation

  • Naoto Kunitomo, 1999. "On Ergodicity of Some TAR(2) Processes," CIRJE F-Series CIRJE-F-55, CIRJE, Faculty of Economics, University of Tokyo.
  • Handle: RePEc:tky:fseres:99cf55

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    References listed on IDEAS

    1. Sheena, Yo & Takemura, Akimichi, 1992. "Inadmissibility of non-order-preserving orthogonally invariant estimators of the covariance matrix in the case of Stein's loss," Journal of Multivariate Analysis, Elsevier, vol. 41(1), pages 117-131, April.
    2. Sinha, Bimal Kumar, 1976. "On improved estimators of the generalized variance," Journal of Multivariate Analysis, Elsevier, vol. 6(4), pages 617-625, December.
    3. M. S. Srivastava & Tatsuya Kubokawa, 1999. "Improved Nonnegative Estimation of Multivariate Components of Variance," CIRJE F-Series CIRJE-F-38, CIRJE, Faculty of Economics, University of Tokyo.
    4. Perron, F., 1992. "Minimax estimators of a covariance matrix," Journal of Multivariate Analysis, Elsevier, vol. 43(1), pages 16-28, October.
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