Advancing the iid Test Based on Integration across the Correlation Integral: Ranges, Competition, and Power
This paper builds on Kocenda (2001) and extends it in two ways. First, two new intervals of the proximity parameter epsilon (over which the correlation integral is calculated) are specified. For these epsilon-ranges new critical values for various lengths of the data sets are introduced and through Monte Carlo studies it is shown that within new epsilon-ranges the test is even more powerful than within the original epsilon-range. A sensitivity analysis of the critical values with respect to epsilon-range choice is also given. Second, a comparison with existing results of the controlled competition of Barnett et al. (1997) as well as broad power tests on various nonlinear and chaotic data are provided. The results of the comparison strongly favor our robust procedure and confirm the ability of the test in finding nonlinear dependencies. An empirical comparison of the new epsilon-ranges with the original one shows that the test within the new epsilon-ranges is able to detect hidden patterns with much higher precision. Finally, new user-friendly and fast software is introduced.
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- William Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan & Mark J. Jensen, 2012.
"A Single-Blind Controlled Competition Among Tests For Nonlinearity And Chaos,"
WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS
201219, University of Kansas, Department of Economics, revised Sep 2012.
- Barnett, William A. & Gallant, A. Ronald & Hinich, Melvin J. & Jungeilges, Jochen A. & Kaplan, Daniel T. & Jensen, Mark J., 1997. "A single-blind controlled competition among tests for nonlinearity and chaos," Journal of Econometrics, Elsevier, vol. 82(1), pages 157-192.
- William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan & Mark J. Jensen, 1996. "A Single-Blind Controlled Competition among Tests for Nonlinearity and Chaos," Econometrics 9602005, EconWPA, revised 20 Sep 1996.
- Serletis, Apostolos & Gogas, Periklis, 1997.
"Chaos in East European black market exchange rates,"
Research in Economics,
Elsevier, vol. 51(4), pages 359-385, December.
- Serletis, A. & Gogas, P., 1997. "Chaos in East European Black-Market Exchange Rates," Papers 9708, Calgary - Department of Economics.
- Evžen Kočenda, 1996. "Volatility of a Seemingly Fixed Exchange Rate," Eastern European Economics, M.E. Sharpe, Inc., vol. 34(6), pages 37-67, December.
- Hsieh, David A, 1991. " Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-77, December.
- 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.
- Andersen, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Ebens, Heiko, 2001. "The distribution of realized stock return volatility," Journal of Financial Economics, Elsevier, vol. 61(1), pages 43-76, July.
- Brooks, C. & Henry, O.T., 1999.
"Can Portemanteau Nonlinearity Tests Serve as General Mis-Specification Tests? Evidence from Symmetric and Asymmetric GARCH Models,"
Department of Economics - Working Papers Series
723, The University of Melbourne.
- Brooks, Chris & Henry, Olan T., 2000. "Can portmanteau nonlinearity tests serve as general mis-specification tests?: Evidence from symmetric and asymmetric GARCH models," Economics Letters, Elsevier, vol. 67(3), pages 245-251, June.
- Dejian Lai & Guanrong Chen, 2003. "Distribution of the estimated lyapunov exponents from noisy chaotic time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(6), pages 705-720, November.
- Diks, Cees, 2003. "Detecting serial dependence in tail events: a test dual to the BDS test," Economics Letters, Elsevier, vol. 79(3), pages 319-324, June.
- Brooks, Chris & Heravi, Saeed M, 1999. "The Effect of (Mis-Specified) GARCH Filters on the Finite Sample Distribution of the BDS Test," Computational Economics, Society for Computational Economics, vol. 13(2), pages 147-62, April.
- Kramer, Walter & Runde, Ralf, 1997. "Chaos and the compass rose," Economics Letters, Elsevier, vol. 54(2), pages 113-118, February.
- B. Wade Brorsen & Seung-Ryong Yang, 1994. "Nonlinear Dynamics And The Distribution Of Daily Stock Index Returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 17(2), pages 187-203, 06.
- Brooks, Chris, 1999. "Portmanteau Model Diagnostics and Tests for Nonlinearity: A Comparative Monte Carlo Study of Two Alternative Methods," Computational Economics, Society for Computational Economics, vol. 13(3), pages 249-63, June.
- Hsieh, David A., 1993. "Implications of Nonlinear Dynamics for Financial Risk Management," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(01), pages 41-64, March.
- Opong, Kwaku K. & Mulholland, Gwyneth & Fox, Alan F. & Farahmand, Kambiz, 1999. "The behaviour of some UK equity indices: An application of Hurst and BDS tests1," Journal of Empirical Finance, Elsevier, vol. 6(3), pages 267-282, September.
- Chappell, David & Padmore, Joanne & Ellis, Catherine, 1996. "A Note on the Distribution of BDS Statistics for a Real Exchange Rate Series," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(3), pages 561-65, August.
- Aydin Cecen, A. & Erkal, Cahit, 1996. "Distinguishing between stochastic and deterministic behavior in foreign exchange rate returns: Further evidence," Economics Letters, Elsevier, vol. 51(3), pages 323-329, June.
- Antonio Aguirre & Luis Antonio Aguirre, 2000. "Time series analysis of monthly beef cattle prices with nonlinear autoregressive models," Applied Economics, Taylor & Francis Journals, vol. 32(3), pages 265-275.
- Mahajan, Arvind & Wagner, Andrew J., 1999. "Nonlinear dynamics in foreign exchange rates," Global Finance Journal, Elsevier, vol. 10(1), pages 1-23.
- David Johnson & Robert McClelland, 1998. "A general dependence test and applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(6), pages 627-644.
- de Lima, Pedro J F, 1998. "Nonlinearities and Nonstationarities in Stock Returns," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(2), pages 227-36, April.
- Peter Kugler & Carlos Lenz, 1990. "Chaos, Arch and the Foreign Exchange Market: Empirical Results from Weekly Data," Diskussionsschriften dp9005, Universitaet Bern, Departement Volkswirtschaft.
- Bollerslev, Tim & Ole Mikkelsen, Hans, 1999. "Long-term equity anticipation securities and stock market volatility dynamics," Journal of Econometrics, Elsevier, vol. 92(1), pages 75-99, September.
- Yi-Ting Chen & Chung-Ming Kuan, 2002. "Time irreversibility and EGARCH effects in US stock index returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(5), pages 565-578.
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