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A Nonparametric Test For Independence Of A Multivariate Time Series

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  • Baek, Khung G.
  • Brock, William A.

Abstract

This paper develops a general nonparametric test for the null hypothesis that the vector of time series under scrutiny is temporally and cross sectionally independent. The null class of the models can be extended to include weak dependence. This test can be used to test the adequacy of a fitted model. As an application of the test we show how we test diagnostically a vector auto regressive model fitted to the given data. This procedure is legitimate because the first order asymptotic distribution of the test statistic is robust to the estimated residual vector.

Suggested Citation

  • Baek, Khung G. & Brock, William A., 1989. "A Nonparametric Test For Independence Of A Multivariate Time Series," ISU General Staff Papers 198912010800001205, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genstf:198912010800001205
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    References listed on IDEAS

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    1. Baumol, William J & Benhabib, Jess, 1989. "Chaos: Significance, Mechanism, and Economic Applications," Journal of Economic Perspectives, American Economic Association, vol. 3(1), pages 77-105, Winter.
    2. Brock, W. A., 1986. "Distinguishing random and deterministic systems: Abridged version," Journal of Economic Theory, Elsevier, vol. 40(1), pages 168-195, October.
    3. Hsieh, David A, 1989. "Testing for Nonlinear Dependence in Daily Foreign Exchange Rates," The Journal of Business, University of Chicago Press, vol. 62(3), pages 339-368, July.
    4. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    5. Brock, W.A. & Dechert, W.D., 1988. "Theorems On Distinguishing Deterministic Form Random Systems," Working papers 366, Wisconsin Madison - Social Systems.
    6. Baek, E.G. & Brock, W.A., 1988. "A Nonparametric Test For Temporal Dependence In A Vector Of Time Series," Working papers 8816, Wisconsin Madison - Social Systems.
    7. Brock, William A. & Sayers, Chera L., 1988. "Is the business cycle characterized by deterministic chaos?," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 71-90, July.
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