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A Generalized BDS Statistic

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Author Info
M. Matilla-GarcÍa ()
R. Queralt
P. Sanz
F. VÁzquez
Abstract

The BDS statistic, rooted on the correlation integral, has been proven to be useful for different problems. But although the correlation integral is defined for any choice of delay time, the BDS statistic assumes delay time is one. As different studies have shown, an adequate choice of delay time is important in order to determine the dynamical properties of a system from an observed time series, specially when the data sets are small and there is some noise. This paper introduces a new statistic that generalizes BDS by allowing the choice of any delay time. Copyright Kluwer Academic Publishers 2004

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File URL: http://hdl.handle.net/10.1007/s10614-004-4657-y
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Publisher Info
Article provided by Springer in its journal Computational Economics.

Volume (Year): 24 (2004)
Issue (Month): 3 (September)
Pages: 277-300
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:kap:compec:v:24:y:2004:i:3:p:277-300

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Related research
Keywords: BDS test; chaos; delay coordinates method; nonlinearity;

References listed on IDEAS
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  1. M. Matilla-García & P. Sanz & F. J. Vázquez, 2004. "Dimension estimation with the BDS-G statistic," Applied Economics, Taylor and Francis Journals, vol. 36(11), pages 1219-1223, June. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
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  3. Ramsey, James B & Sayers, Chera L & Rothman, Philip, 1990. "The Statistical Properties of Dimension Calculations Using Small Data Sets: Some Economic Applications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 991-1020, November. [Downloadable!] (restricted)
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  4. 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)
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