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Testing for independence between two covariance stationary time series

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  • Hong, Yongmiao

Abstract

A one-sided asymptotically normal test for independence between two stationary time series is proposed by first prewhitening the two time series and then basing the test on the residual cross-correlation function. The test statistic is a properly standardised version of the sum of weighted squares of residual cross-correlations, with weights depending on a kernel function. Haugh's (1976) test can be viewed as a special case of our approach in the sense that it corresponds to the use of the truncated kernel. Many kernels deliver better power than Haugh's test. A simulation study shows that the new test has good power against short and long cross-correlations.

Suggested Citation

  • Hong, Yongmiao, 1996. "Testing for independence between two covariance stationary time series," MPRA Paper 108731, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:108731
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    References listed on IDEAS

    as
    1. Hong, Yongmiao, 1996. "Consistent Testing for Serial Correlation of Unknown Form," Econometrica, Econometric Society, vol. 64(4), pages 837-864, July.
    2. Gallant, A. Ronald & Jorgenson, Dale W., 1979. "Statistical inference for a system of simultaneous, non-linear, implicit equations in the context of instrumental variable estimation," Journal of Econometrics, Elsevier, vol. 11(2-3), pages 275-302.
    3. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    4. Geweke, John, 1981. "The Approximate Slopes of Econometric Tests," Econometrica, Econometric Society, vol. 49(6), pages 1427-1442, November.
    5. Ngai Hang Chan & Lanh Tat Tran, 1992. "Nonparametric Tests For Serial Dependence," Journal of Time Series Analysis, Wiley Blackwell, vol. 13(1), pages 19-28, January.
    6. P. M. Robinson, 1991. "Consistent Nonparametric Entropy-Based Testing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 437-453.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Coherency; Cross-correlation; Independence; Kernel function; Multivariate time series.;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

    Statistics

    Access and download statistics

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