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Based on the high-frequency recordings from Kraken, a cryptocurrency exchange and professional trading platform that aims to bring Bitcoin and other cryptocurrencies into the mainstream, the multiscale cross-correlations involving the…

Statistical Finance · Quantitative Finance 2019-07-22 Stanisław Drożdż , Ludovico Minati , Paweł Oświęcimka , Marek Stanuszek , Marcin Wątorek

The study examines whether fama-french equity factors can effectively explain the idiosyncratic risk and return characteristics of Bitcoin. By incorporating Fama-french factors, the explanatory power of these factors on Bitcoin's excess…

Statistical Finance · Quantitative Finance 2024-07-02 Shubham Singh

Based on the cryptocurrency market dynamics, this study presents a general methodology for analyzing evolving correlation structures in complex systems using the $q$-dependent detrended cross-correlation coefficient \rho(q,s). By extending…

Statistical Finance · Quantitative Finance 2025-10-29 Marcin Wątorek , Marija Bezbradica , Martin Crane , Jarosław Kwapień , Stanisław Drożdż

We empirically analyze the reversion of financial market trends with time horizons ranging from minutes to decades. The analysis covers equities, interest rates, currencies and commodities and combines 14 years of futures tick data, 30…

Statistical Finance · Quantitative Finance 2025-06-02 Sara A. Safari , Christof Schmidhuber

We show Bitcoin implied volatility on a 5 minute time horizon is modestly predictable from price, volatility momentum and alternative data including sentiment and engagement. Lagged Bitcoin index price and volatility movements contribute to…

Statistical Finance · Quantitative Finance 2020-10-30 Faizaan Pervaiz , Christopher Goh , Ashley Pennington , Samuel Holt , James West , Shaun Ng

Bitcoin is one of the cryptocurrencies that is gaining more popularity in recent years. Previous studies have shown that closing price alone is not enough to forecast stock market series. We introduce a new set of time series and…

Machine Learning · Computer Science 2025-04-28 Stefano Sossi-Rojas , Gissel Velarde , Damian Zieba

We compare correlations and coherent structures in nuclei and financial markets. In the nuclear physics part we review giant resonances which can be interpreted as a coherent structure embedded in chaos. With similar methods we investigate…

Statistical Finance · Quantitative Finance 2015-05-14 J. Speth , S. Drozdz , F. Gruemmer

Multifractal detrended cross-correlation methodology is described and applied to Foreign exchange (Forex) market time series. Fluctuations of high frequency exchange rates of eight major world currencies over 2010-2018 period are used to…

Statistical Finance · Quantitative Finance 2019-12-17 Robert Gębarowski , Paweł Oświęcimka , Marcin Wątorek , Stanisław Drożdż

We investigate logarithmic price returns cross-correlations at different time horizons for a set of 25 liquid cryptocurrencies traded on the FTX digital currency exchange. We study how the structure of the Minimum Spanning Tree (MST) and…

Statistical Finance · Quantitative Finance 2022-12-29 Antonio Briola , Tomaso Aste

This paper presents static and dynamic versions of univariate, multivariate, and multilevel functional time-series methods to forecast implied volatility surfaces in foreign exchange markets. We find that dynamic functional principal…

Statistical Finance · Quantitative Finance 2021-07-30 Han Lin Shang , Fearghal Kearney

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…

Statistical Finance · Quantitative Finance 2022-09-05 Jarosław Kwapień , Marcin Wątorek , Marija Bezbradica , Martin Crane , Tai Tan Mai , Stanisław Drożdż

We show that it can be considered some of Bach pitches series as a stochastic process with scaling behavior. Using multifractal deterend fluctuation analysis (MF-DFA) method, frequency series of Bach pitches have been analyzed. In this view…

Data Analysis, Statistics and Probability · Physics 2009-11-13 G. R. Jafari , P. Pedram , L. Hedayatifar

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

Bitcoin transaction fees will become more important as the block subsidy declines, but fee formation is hard to study with blockchain data alone because the relevant queueing environment is unobserved. We develop and estimate a structural…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Daniel Aronoff , Kristian Praizner , Armin Sabouri

Prices of commodities or assets produce what is called time-series. Different kinds of financial time-series have been recorded and studied for decades. Nowadays, all transactions on a financial market are recorded, leading to a huge amount…

Statistical Finance · Quantitative Finance 2015-05-13 A. Chakraborti , M. Patriarca , M. S. Santhanam

We study the properties of memory of a financial time series adopting two different methods of analysis, the detrended fluctuation analysis (DFA) and the analysis of the power spectrum (PSA). The methods are applied on three time series:…

Statistical Mechanics · Physics 2008-12-02 Simone Bianco

We present a exactly soluble model for financial time series that mimics the long range volatility correlations known to be present in financial data. Although our model is `monofractal' by construction, it shows apparent multiscaling as a…

Condensed Matter · Physics 2015-06-25 Jean-Philippe Bouchaud , Marc Potters , Martin Meyer

Multifractal Detrended Fluctuation Analysis (MFDFA) is a powerful and widely used technique for characterizing the scaling properties and long-range correlations of complex time series. However, its application often involves significant…

In this brief, we conduct a complex-network analysis of the Bitcoin transaction network. In particular, we design a new sampling method, namely random walk with flying-back (RWFB), to conduct effective data sampling. We then conduct a…

Social and Information Networks · Computer Science 2022-03-18 Bishenghui Tao , Hong-Ning Dai , Jiajing Wu , Ivan Wang-Hei Ho , Zibin Zheng , Chak Fong Cheang

We apply RMT, Network and MF-DFA methods to investigate correlation, network and multifractal properties of 20 global financial indices. We compare results before and during the financial crisis of 2008 respectively. We find that the…

Statistical Finance · Quantitative Finance 2015-06-04 Sunil Kumar , Nivedita Deo
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