Advancing the iid Test Based on Integration across the Correlation Integral: Ranges, Competition, and Power
Charles University in Prague - CERGE-EI (Center for Economic Research and Graduate Education - Economics Institute); CESifo; University of Michigan at Ann Arbor - The William Davidson Institute; Osteuropa Institut; Centre for Economic Policy Research (CEPR)
Charles University in Prague - CERGE-EI (Center for Economic Research and Graduate Education - Economics Institute)
CERGE-EI Working Paper No. 235
This paper builds on Kocenda (2001) and extends it in two ways. First, two new intervals of the proximity parameter ε (over which the correlation integral is calculated) are specified. For these ε-ranges new critical values for various lengths of the data sets are introduced and through Monte Carlo studies it is shown that within new ε-ranges the test is even more powerful than within the original ε-range. A sensitivity analysis of the critical values with respect to ε-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 ε-ranges with the original one shows that the test within the new ε-ranges is able to detect hidden patterns with much higher precision. Finally, new user-friendly and fast software is introduced.
Number of Pages in PDF File: 42
Keywords: Chaos, nonlinear dynamics, correlation integral, Monte Carlo, singleblind
JEL Classification: C14, C15, C52, C87, F31, G12working papers series
Date posted: November 13, 2005
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