Recent scaling properties of Bitcoin price returns

Abstract While relevant stylized facts are observed for Bitcoin markets, we find a distinct property the scaling behavior of cumulative return distribution. For various assets, tail index μ distribution exhibits ≈ 3, which is referred to as ”the inverse cubic law.” On other hand, that claimed be 2, known square We investigate properties using recent data and changes consistent with law. This suggests some market could vary over time. also autocorrelation absolute returns it described by power-law two exponents. By analyzing standardized realized volatility, verify time series normal random variables time-varying volatility.