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Lempel-Ziv Complexity and Crises of Cryptocurrency Market

- Soloviev, V.N. (, Semerikov, Serhiy O. ( and Solovjova, Viktoria (2020) Lempel-Ziv Complexity and Crises of Cryptocurrency Market Advances in Economics, Business and Management Research: III International Scientific Congress Society of Ambient Intelligence 2020 (ISC-SAI 2020) (129). ISSN 2352-5428

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The informational (Kolmogorov) measure of complexity in accordance with the Lempel-Ziv algorithm (LZC) is calculated for the logarithmic returns of daily Bitcoin/$ values. The calculations were carried out for a moving window with a variation in its size (50–250 days) in increments of one day in the framework of the implemented coarse graining procedure. It is shown that in both mono-and multi-scaling versions, LZC is sensitive to noticeable fluctuations in the Bitcoin price that occur as a result of critical events in the cryptocurrency market. In equilibrium, stable state, having a relatively low value, LZC rapidly increases immediately before the crisis, which proves the dominance of the chaotic component of the time series. The classification and periodization of crisis phenomena in the cryptocurrency market for the period 2010–2020 has been carried out. The results demonstrate the possibility of using the LZC measure as an indicator-precursor of crisis phenomena in the cryptocurrency market.

Item Type: Article
Keywords: information theory, time series, returns, complex systems, Kolmogorov complexity, entropy, Lempel-Ziv complexity, cryptocurrency, Bitcoin, crisis
Subjects: Science and knowledge. Organization. Computer science. Information. Documentation. Librarianship. Institutions. Publications > 3 Social Sciences > 33 Economics. Economic science
Divisions: Institute for Digitalisation of Education > Department of the Cloud-Вased Systems of ICT in Education
Depositing User: Сергій Олексійович Семеріков
Date Deposited: 24 Apr 2020 19:56
Last Modified: 12 Aug 2020 03:05


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