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This paper introduces new methods for analysing the extreme and erratic behaviour of time series to evaluate the impact of COVID-19 on cryptocurrency market dynamics. Across 51 cryptocurrencies, we examine extreme behaviour through a study…

Mathematical Finance · Quantitative Finance 2020-12-01 Nick James , Max Menzies , Jennifer Chan

The aim of this paper is to investigate the effect of a novel method called linear law-based feature space transformation (LLT) on the accuracy of intraday price movement prediction of cryptocurrencies. To do this, the 1-minute interval…

Statistical Finance · Quantitative Finance 2023-05-09 Marcell T. Kurbucz , Péter Pósfay , Antal Jakovác

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…

Statistical Finance · Quantitative Finance 2023-09-08 Esther Cabezas-Rivas , Felipe Sánchez-Coll , Isaac Tormo-Xaixo

A model is proposed for Bitcoin prices that takes into account market attention. Market attention, modeled by a mean-reverting Cox-Ingersoll-Ross processes, affects the volatility of Bitcoin returns, with some delay. The model is affine and…

Pricing of Securities · Quantitative Finance 2024-01-17 Alvaro Guinea Julia , Alet Roux

Financial time series exhibit a number of interesting properties that are difficult to explain with simple models. These properties include fat-tails in the distribution of price fluctuations (or returns) that are slowly removed at longer…

Statistical Finance · Quantitative Finance 2013-11-19 Raoul Golan , Austin Gerig

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

Bitcoin is a digital financial asset that is devoid of a central authority. This makes it distinct from traditional financial assets in a number of ways. For instance, the total number of tokens is limited and it has not explicit use value.…

Statistical Finance · Quantitative Finance 2020-05-20 C. R. da Cunha , R. da Silva

Since Bitcoin first appeared on the scene in 2009, cryptocurrencies have become a worldwide phenomenon as important decentralized financial assets. Their decentralized nature, however, leads to notable volatility against traditional fiat…

Statistical Finance · Quantitative Finance 2024-10-23 Zeyd Boukhers , Azeddine Bouabdallah , Cong Yang , Jan Jürjens

Social systems are characterized by an enormous network of connections and factors that can influence the structure and dynamics of these systems. All financial markets, including the cryptocurrency market, belong to the economical sphere…

Statistical Finance · Quantitative Finance 2020-09-22 Stanisław Drożdż , Jarosław Kwapień , Paweł Oświęcimka , Tomasz Stanisz , Marcin Wątorek

The paper constructs a multi-variate Hawkes process model of Bitcoin block arrivals and price jumps. Hawkes processes are selfexciting point processes that can capture the self- and cross-excitation effects of block mining and Bitcoin price…

Networking and Internet Architecture · Computer Science 2022-04-01 Rui Luo , Vikram Krishnamurthy , Erik Blasch

Bitcoin derives a verifiable temporal order from probabilistic block discovery and cumulative proof-of-work rather than from a trusted global clock. We show that block arrivals exhibit stable exponential behavior across difficulty epochs,…

Information Theory · Computer Science 2026-02-11 Bin Chen , Pan Feng

As the pioneer of blockchain technology, Bitcoin is the most popular cryptocurrency to date. Given its dramatic price spikes (and crashes) along with the never-ending news from SEC regulations to security breaches, there seems to be a lack…

Computers and Society · Computer Science 2020-06-04 Anthony Luo , Dianxiang Xu

This work aims to analyse the predictability of price movements of cryptocurrencies on both hourly and daily data observed from January 2017 to January 2021, using deep learning algorithms. For our experiments, we used three sets of…

Statistical Finance · Quantitative Finance 2021-02-18 Marco Ortu , Nicola Uras , Claudio Conversano , Giuseppe Destefanis , Silvia Bartolucci

Cryptocurrencies are considered the latest innovation in finance with considerable impact across social, technological, and economic dimensions. This new class of financial assets has also motivated a myriad of scientific investigations…

Physics and Society · Physics 2023-03-31 Arthur A. B. Pessa , Matjaz Perc , Haroldo V. Ribeiro

Inhomogeneous temporal processes, like those appearing in human communications, neuron spike trains, and seismic signals, consist of high-activity bursty intervals alternating with long low-activity periods. In recent studies such bursty…

Physics and Society · Physics 2011-12-01 Márton Karsai , Kimmo Kaski , Albert-László Barabási , János Kertész

Since the inception of Bitcoin in 2008, cryptocurrencies have played an increasing role in the world of e-commerce, but the recent turbulence in the cryptocurrency market in 2018 has raised some concerns about their stability and associated…

Methodology · Statistics 2021-04-14 Yan Gong , Raphaël Huser

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

In this paper, we study the ability to make the short-term prediction of the exchange price fluctuations towards the United States dollar for the Bitcoin market. We use the data of realized volatility collected from one of the largest…

Machine Learning · Statistics 2019-02-08 Tian Guo , Albert Bifet , Nino Antulov-Fantulin

Cross-correlations in fluctuations of the daily exchange rates within the basket of the 100 highest-capitalization cryptocurrencies over the period October 1, 2015, through March 31, 2019, are studied. The corresponding dynamics…

Statistical Finance · Quantitative Finance 2020-02-12 Stanisław Drożdż , Ludovico Minati , Paweł Oświęcimka , Marek Stanuszek , Marcin Wątorek

Correlations in complex systems are often obscured by nonstationarity, long-range memory, and heavy-tailed fluctuations, which limit the usefulness of traditional covariance-based analyses. To address these challenges, we construct scale…

Statistical Finance · Quantitative Finance 2025-12-09 Stanisław Drożdż , Paweł Jarosz , Jarosław Kwapień , Maria Skupień , Marcin Wątorek