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A Robust Entropy-Based Test for Asymmetry

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  • Maasoumi, Esfandiar

    () (Department of Economics, Southern Methodist University, Dallas, TX 75275-0496, USA)

  • Racine Jeff

    () (Department of Economics, Syracuse University, Syracuse, NY 13244-1020, USA)

Abstract

We consider a metric entropy capable of detecting deviations from symmetry. A consistent test statistic is constructed from an integrated normed di®erence between two density functions estimated using ker- nel methods. The null distribution (symmetry) is obtained by resam- pling from an arti¯cially lengthened series constructed from a rotation of the original series about its mean (median, mode). Simulations demonstrate that the test has correct level and power in the direc- tion of interesting alternatives, while applications to updated Nelson & Plosser (1982) data demonstrate its potential power gains relative to existing tests.

Suggested Citation

  • Maasoumi, Esfandiar & Racine Jeff, 2003. "A Robust Entropy-Based Test for Asymmetry," Departmental Working Papers 0508, Southern Methodist University, Department of Economics.
  • Handle: RePEc:smu:ecowpa:0508
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    1. Belaire-Franch Jorge & Peiro Amado, 2003. "Conditional and Unconditional Asymmetry in U.S. Macroeconomic Time Series," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 7(1), pages 1-19, April.
    2. Bai, Jushan & Ng, Serena, 2001. "A consistent test for conditional symmetry in time series models," Journal of Econometrics, Elsevier, vol. 103(1-2), pages 225-258, July.
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