Beyond Benford's Law: Distinguishing Noise from Chaos

Qinglei Li, Zuntao Fu and Naiming Yuan

PLOS ONE, 2015, vol. 10, issue 6, 1-11

Abstract: Determinism and randomness are two inherent aspects of all physical processes. Time series from chaotic systems share several features identical with those generated from stochastic processes, which makes them almost undistinguishable. In this paper, a new method based on Benford's law is designed in order to distinguish noise from chaos by only information from the first digit of considered series. By applying this method to discrete data, we confirm that chaotic data indeed can be distinguished from noise data, quantitatively and clearly.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0129161

DOI: 10.1371/journal.pone.0129161

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