Complex Systems Theory And Crashes Of Cryptocurrency Market

The paper focuses on the study of the impact of extended memory and the evaluation 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 evaluation and the Detrended Fluctuation Analysis being much more steady in the case of non-stationary time series. We also located that (i) time series became anti-persistent throughout the periods of market crisis phenomena and turbulence (ii) the Hurst exponents showed important fluctuations about the worth of .5. In addition, we conduct a multifractal evaluation of cryptocurrency time series that permits us to assess the state and stability of the market.The calculated spectrum of multifractality shows that the cryptocurrency market place comes out of a crisis state, considering that the width of the multifractality spectrum has the maximum worth for all cryptocurrencies. Our results show that time series of cryptocurrencies to be persistent during almost the entire study period that do not let accepting the hypothesis concerning the efficiency of the cryptocurrency market place.

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