Complex Systems Theory And Crashes Of Cryptocurrency Market

The paper focuses on the study of the effect of extended memory and the analysis of the multifractal properties of the time series of the most capitalized cryptocurrencies for the period from 2010 to 2018. To do this, the Hurst exponent is calculated by each R/S analysis and the Detrended Fluctuation Analysis becoming additional stable in the case of non-stationary time series. We also located that (i) time series became anti-persistent in the course of the periods of marketplace crisis phenomena and turbulence (ii) the Hurst exponents showed significant fluctuations about the worth of .5. In addition, we conduct a multifractal analysis of cryptocurrency time series that makes it possible for us to assess the state and stability of the market.The calculated spectrum of multifractality shows that the cryptocurrency industry comes out of a crisis state, considering the fact that the width of the multifractality spectrum has the maximum worth for all cryptocurrencies. Our benefits show that time series of cryptocurrencies to be persistent for the duration of nearly the entire study period that do not permit accepting the hypothesis regarding the efficiency of the cryptocurrency market place.

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