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References in periodicals archive ?
The correlation dimension reflects the proximity of a system state to the corresponding previous states at a pseudoperiod point.
Box count dimension and correlation dimension are used in [a] as well, which accounts for the redundancy in the feature vector.
Scheinkman, 1987, "A Test of Independence Based on the Correlation Dimension," Unpublished Manuscript, University of Wisconsin, Madison, University of Houston, and University of Chicago.
To determine the chaotic dynamics within the stream flows, the correlation dimension method was applied.
Thus, if the correlation integral as a function of r is depicted in log--log coordinates, there appears a nearly straight line with a slope equal to correlation dimension v.
2] had a greater range of correlation dimensions in every instance, making it a better candidate for the generation of the pseudorandom numbers.
Although the research conducted by Richards is of enormous merit in that it sought as long ago as 1990 to take complexity theory as its starting point, it nevertheless suffers from certain methodological limitations, such as working without calculating the optimum values of the lag or the embedding dimension, both of which are necessary for the correct calculation of the correlation dimension.
We can now understand why the correlation dimension have a role in our problem [24].
The wear conditions and the tool life can be evaluated by the largest Liapunov exponent and the correlation dimension, because the behaviors of both parameters in each condition (i.
They estimate the Grassberger-Procaccia (1983) correlation dimension (CD) and conclude that more data are needed to establish that real U.
Two tests of chaos are used in this study; the GP correlation dimension analysis (Grassberger and Procaccia, 1983), and the third moment test (Brock et al, 1991, Hsieh, 1989, 1991).
crude oil prices; Frank and Stengos (1989) estimate the Correlation Dimension and Kolmogorov entropy for gold and silver spot prices; DeCoster, Labys, and Mitchell (1992) apply Correlation Dimension to daily sugar, silver, copper, and coffee futures prices; Yang and Brorsen (1993) employ Correlation Dimension and the Brock, Dechert, and Scheinkman (BDS) test on several futures markets, including gold and silver.
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