A New Test for Chaos and Determinism based on Symbolic Dynamics

Mariano Matilla-García and Manuel Ruiz Marin

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Abstract: We propose a novel test to determine, given a time series, if the dynamics are generated by a deterministic (including low dimensional chaos), rather than a stochastic, process. In addition, we introduce a new nonparametric bootstrap test for independence which is consistent against a broad class of alternatives. The conditions under which the tests can be applied are very weak. The advantages of the presented methods are simplicity, invariance with respect to monotonic transformations and the applicability of the tests regardless of the discrete or continuous nature of the data generating process. We conduct several simulation studies to evaluate the performance of our tests on well-known dynamic processes. Finally, our tests are applied to several sets of financial returns that have been recently studied.

Keywords: Social; Sciences; &; Humanities (search for similar items in EconPapers)
Date: 2010-11-30
Note: View the original document on HAL open archive server: https://hal.science/hal-00911819
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Citations: View citations in EconPapers (3)

Published in Journal of Economic Behavior and Organization, 2010, 76 (3), pp.600. ⟨10.1016/j.jebo.2010.09.017⟩

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Journal Article: A new test for chaos and determinism based on symbolic dynamics (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00911819

DOI: 10.1016/j.jebo.2010.09.017

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