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Tests for Serial Independence and Linearity Based on Correlation Integrals

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Author Info
Cees Diks (CeNDEF - University of Amsterdam)
Sebastiano Manzan (CeNDEF - University of Amsterdam)

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Abstract

We propose information theoretic tests for serial independence and linearity in time series against nonlinear dependence on lagged variables, based on the conditional mutual information. The conditional mutual information, which is a general measure for dependence, is estimated using the correlation integral from chaos theory. The significance of the test statistics is determined by means of bootstrap methods. The size and power properties of the tests are examined by simulation and illustrated with applications to real US GNP data.

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Publisher Info
Article provided by Berkeley Electronic Press in its journal Studies in Nonlinear Dynamics & Econometrics.

Volume (Year): 6 (2002)
Issue (Month): 2 ()
Pages: 1005-1005
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Handle: RePEc:bep:sndecm:6:2002:2:1005-1005

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Related research
Keywords: serial independence linearity bootstrap permutation test nonlinear time series analysis

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Robinson, P M, 1991. "Consistent Nonparametric Entropy-Based Testing," Review of Economic Studies, Blackwell Publishing, vol. 58(3), pages 437-53, May. [Downloadable!] (restricted)
  2. Diks, C.G.H., 1999. "Consistent Testing for Serial Independence," CeNDEF Working Papers 99-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  3. repec:att:wimass:199520 is not listed on IDEAS
  4. R. Tschernig & L. Yang, . "Nonparametric Lag Selection for Time Series," Sonderforschungsbereich 373 1997-59, Humboldt Universitaet Berlin.
  5. W. A. Broock & J. A. Scheinkman & W. D. Dechert & B. LeBaron, 1996. "A test for independence based on the correlation dimension," Econometric Reviews, Taylor and Francis Journals, vol. 15(3), pages 197-235. [Downloadable!] (restricted)
  6. F. Aparicio & A. Escribano, 1998. "Information-Theoretic Analysis of Serial Dependence and Cointegration," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 3(3), pages 119-140. [Downloadable!] (restricted)
  7. Potter, Simon M, 1995. "A Nonlinear Approach to US GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 109-25, April-Jun. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Diks, C.G.H. & Panchenko, V., 2006. "Rank-based entropy tests for serial independence," CeNDEF Working Papers 06-14, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
  2. Manzan, S. & Zerom, D., 2005. "A Multi-Step Forecast Density," CeNDEF Working Papers 05-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
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