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Fractal behavior and long-range dependence have been observed in tele-traffic measurement and characterization. In this paper we show results of application of the fractal analysis to internet traffic via various methods. Our result…

计算物理 · 物理学 2007-05-23 K. B. Chong , K. Y. Choo

Unlike price fluctuations, the temporal structure of cryptocurrency trading has seldom been a subject of systematic study. In order to fill this gap, we analyse detrended correlations of the price returns, the average number of trades in…

统计金融 · 定量金融 2022-08-03 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

Using 1-min returns of Bitcoin prices, we investigate statistical properties and multifractality of a Bitcoin time series. We find that the 1-min return distribution is fat-tailed, and kurtosis largely deviates from the Gaussian…

统计金融 · 定量金融 2018-05-29 Tetsuya Takaishi

A main focus in economics research is understanding the time series of prices of goods and assets. While statistical models using only the properties of the time series itself have been successful in many aspects, we expect to gain a better…

物理与社会 · 物理学 2014-12-15 Dániel Kondor , István Csabai , János Szüle , Márton Pósfai , Gábor Vattay

Multifractality in time series analysis characterizes the presence of multiple scaling exponents, indicating heterogeneous temporal structures and complex dynamical behaviors beyond simple monofractal models. In the context of digital…

统计金融 · 定量金融 2025-10-16 Stanisław Drożdż , Robert Kluszczyński , Jarosław Kwapień , Marcin Wątorek

Bitcoin is a cryptocurrency attracting a lot of interest both from the general public and researchers. There is an ongoing debate on the question of users' anonymity: while the Bitcoin protocol has been designed to ensure that the activity…

密码学与安全 · 计算机科学 2019-06-14 Remy Cazabet , Baccour Rym , Latapy Matthieu , Cazabet Remy

Cryptocurrencies are distributed systems that allow exchanges of native tokens among participants, or the exchange of such tokens for fiat currencies in markets external to these public ledgers. The availability of their complete historical…

The aim of this paper is to analyse the Bitcoin in order to shed some light on its nature and behaviour. We select 9 cryptocurrencies that account for almost 75\% of total market capitalisation and compare their evolution with that of a…

统计金融 · 定量金融 2023-09-08 Esther Cabezas-Rivas , Felipe Sánchez-Coll , Isaac Tormo-Xaixo

The study of human dynamics has attracted much interest from many fields recently. In this paper, the fractal characteristic of human behaviors is investigated from the perspective of time series constructed with the amount of library…

物理与社会 · 物理学 2015-05-20 Chao Fan , Jin-Li Guo , Yi-Long Zha

We analyse tick-by-tick data representing major cryptocurrencies traded on some different cryptocurrency trading platforms. We focus on such quantities like the inter-transaction times, the number of transactions in time unit, the traded…

This study investigates the volatility of daily Bitcoin returns and multifractal properties of the Bitcoin market by employing the rolling window method and examines relationships between the volatility asymmetry and market efficiency.…

统计金融 · 定量金融 2021-02-18 Tetsuya Takaishi

We employed Multifractal Detrended Fluctuation Analysis (MF-DFA) and Refined Composite Multiscale Sample Entropy (RCMSE) to investigate the complexity of Bitcoin, GBP/USD, gold, and natural gas price log-return time series. This study…

统计金融 · 定量金融 2025-08-01 Oday Masoudi , Farhad Shahbazi , Mohammad Sharifi

Cryptocurrencies return cross-predictability and technological similarity yield information on risk propagation and market segmentation. To investigate these effects, we build a time-varying network for cryptocurrencies, based on the…

统计金融 · 定量金融 2021-08-27 Li Guo , Wolfgang Karl Härdle , Yubo Tao

Cryptocurrencies return cross-predictability and technological similarity yield information on risk propagation and market segmentation. To investigate these effects, we build a time-varying network for cryptocurrencies, based on the…

统计方法学 · 统计学 2022-11-18 Li Guo , Wolfgang Karl Härdle , Yubo Tao

Currently, there is no consensus on the real properties of Bitcoin. The discussion comprises its use as a speculative or safe haven assets, while other authors argue that the augmented attractiveness could end accomplishing money's…

经济学 · 定量金融 2017-06-06 Obryan Poyser

In this paper, we explore the partitioning attacks on the Bitcoin network, which is shown to exhibit spatial bias, and temporal and logical diversity. Through data-driven study we highlight: 1) the centralization of Bitcoin nodes across…

网络与互联网体系结构 · 计算机科学 2019-02-12 Muhammad Saad , Victor Cook , Lan Nguyen , My T. Thai , Aziz Mohaisen

The bitcoin price has surged in recent years and it has also exhibited phases of rapid decay. In this paper we address the question to what extent this novel cryptocurrency market can be viewed as a classic or semi-efficient market. Novel…

统计金融 · 定量金融 2019-06-26 Josselin Garnier , Knut Solna

Bitcoin is a peer-to-peer electronic payment system that has rapidly grown in popularity in recent years. Usually, the complete history of Bitcoin blockchain data must be queried to acquire variables with economic meaning. This task has…

综合经济学 · 经济学 2025-08-11 Yulin Liu , Luyao Zhang , Yinhong Zhao

Cryptocurrency network analysis consists of applying the tools and methods of social network analysis to transactional data issued from cryptocurrencies. The main difference with most online social networks is that users do not exchange…

社会与信息网络 · 计算机科学 2025-02-06 Natkamon Tovanich , Célestin Coquidé , Rémy Cazabet

This letter investigates the dynamic relationship between market efficiency, liquidity, and multifractality of Bitcoin. We find that before 2013 liquidity is low and the Hurst exponent is less than 0.5, indicating that the Bitcoin time…

统计金融 · 定量金融 2020-09-16 Tetsuya Takaishi , Takanori Adachi
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