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A Robust Entropy-Based Test of Asymmetry for Discrete and Continuous Processes

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Author Info
Esfandiar Maasoumi ()
Jeffrey S. Racine

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Abstract

We consider a metric entropy capable of detecting deviations from symmetry that is suitable for both discrete and continuous processes. A test statistic is constructed from an integrated normed di erence between nonparametric estimates of two den- sity functions. The null distribution (symmetry) is obtained by resampling 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 size and good power in the direction of interesting alternatives, while applications to updated Nelson & Plosser (1982) data demonstrate its potential power gains relative to existing tests.

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File URL: http://www.economics.emory.edu/Working_Papers/wp/2008wp/maasoumi_08_06_paper.pdf
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Paper provided by Department of Economics, Emory University (Atlanta) in its series Emory Economics with number 0806.

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Date of creation: Oct 2008
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Handle: RePEc:emo:wp2003:0806

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  1. Russell Davidson & James MacKinnon, 2000. "Bootstrap tests: how many bootstraps?," Econometric Reviews, Taylor and Francis Journals, vol. 19(1), pages 55-68. [Downloadable!] (restricted)
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  2. Gamini Premaratne, 2005. "A Test for Symmetry with Leptokurtic Financial Data," Journal of Financial Econometrics, Oxford University Press, vol. 3(2), pages 169-187. [Downloadable!] (restricted)
  3. McQueen, Grant & Thorley, Steven, 1993. "Asymmetric business cycle turning points," Journal of Monetary Economics, Elsevier, vol. 31(3), pages 341-362, June. [Downloadable!] (restricted)
  4. Jushan Bai & Serena Ng, 2005. "Tests for Skewness, Kurtosis, and Normality for Time Series Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 49-60, January. [Downloadable!] (restricted)
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  5. C. W. Granger & E. Maasoumi & J. Racine, 2004. "A Dependence Metric for Possibly Nonlinear Processes," Journal of Time Series Analysis, Blackwell Publishing, vol. 25(5), pages 649-669, 09. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
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