Independence Tests based on Symbolic Dynamics
New methods to test whether a time series is i.i.d. are proposed in a recent series of papers (Matilla-García , Matilla-García and Marín , Matilla-García and Marín , and Matilla-García et al. ). The main idea is to map m-histories of a time series onto elements of the symmetric group. The observed frequencies of the different elements are then used to detect dependencies in the original series. The author will demonstrate that the results presented in the above papers are not correct in the suggested generality. Moreover, simulation results indicate that the performance of the original tests are not as good as betoken.
|Date of creation:||15 Sep 2010|
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- Matilla-García, Mariano & Ruiz Marín, Manuel, 2009. "Detection of non-linear structure in time series," Economics Letters, Elsevier, vol. 105(1), pages 1-6, October.
- Matilla-Garcia, Mariano & Ruiz Marin, Manuel, 2008. "A non-parametric independence test using permutation entropy," Journal of Econometrics, Elsevier, vol. 144(1), pages 139-155, May.
- Matilla-Garcia, Mariano, 2007. "A non-parametric test for independence based on symbolic dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3889-3903, December.
- Mariano Matilla-García & José Miguel Rodríguez & Manuel Ruiz Marín, 2010. "A symbolic test for testing independence between time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(2), pages 76-85, 03.
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