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A Note on Resampling the Integration Across the Correlation Integral with Alternative Ranges

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  • Jorge Belaire-Franch

Abstract

This paper reconsiders the nonlinearity test proposed by Koc-super-˘enda (Koc-super-˘enda, E. (2001). An alternative to the BDS test: integration across the correlation integral. Econometric Reviews20:337-351). When the analyzed series is non-Gaussian, the empirical rejection rates can be much larger than the nominal size. In this context, the necessity of tabulating the empirical distribution of the statistic each time the test is computed is stressed. To that end, simple random permutation works reasonably well. This paper also shows, through Monte Carlo experiments, that Koc-super-˘enda's test can be more powerful than the Brock et al. (Brock, W., Dechert, D., Scheickman, J., LeBaron, B. (1996). A test for independence based on the correlation dimension. Econometric Reviews15:197-235) procedure. However, more than one range of values for the proximity parameter should be used. Finally, empirical evidence on exchange rates is reassessed.

Suggested Citation

  • Jorge Belaire-Franch, 2003. "A Note on Resampling the Integration Across the Correlation Integral with Alternative Ranges," Econometric Reviews, Taylor & Francis Journals, vol. 22(4), pages 337-349.
    • Handle: RePEc:taf:emetrv:v:22:y:2003:i:4:p:337-349
    DOI: 10.1081/ETC-120025892
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    Citations

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    Cited by:

    1. Jorge Belaire-Franch & Kwaku Opong, 2013. "A Time Series Analysis of U.K. Construction and Real Estate Indices," The Journal of Real Estate Finance and Economics, Springer, vol. 46(3), pages 516-542, April.
    2. Lubos Briatka, 2006. "How Big is Big Enough? Justifying Results of the iid Test Based on the Correlation Integral in the Non-Normal World," CERGE-EI Working Papers wp308, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    3. Evzen Kocenda & Lubos Briatka, 2004. "Advancing the iid Test Based on Integration across the Correlation Integral: Ranges, Competition, and Power," CERGE-EI Working Papers wp235, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    4. Alagidede, Paul & Lange, Ian, 2009. "Variability in coal prices: evidence from the U.S," Stirling Economics Discussion Papers 2009-01, University of Stirling, Division of Economics.
    5. Jorge Belaire-Franch & Kwaku Opong, 2005. "A Variance Ratio Test of the Behaviour of Some FTSE Equity Indices Using Ranks and Signs," Review of Quantitative Finance and Accounting, Springer, vol. 24(1), pages 93-107, January.
    6. Evzen Kocenda & Lubos Briatka, 2005. "Optimal Range for the iid Test Based on Integration Across the Correlation Integral," Econometric Reviews, Taylor & Francis Journals, vol. 24(3), pages 265-296.

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