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Related papers: An $\alpha$-Stable Approach to Modelling Highly Sp…

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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

Many of the recent works on the profitability of rogue mining strategies hinge on a parameter called $\gamma$ that measures the proportion of the honest network attracted by the attacker to mine on top of his fork. These works, see…

Cryptography and Security · Computer Science 2022-08-23 Pantelis Tassopoulos , Yorgos Protonotarios

$\alpha$-stable distributions are utilised as models for heavy-tailed noise in many areas of statistics, finance and signal processing engineering. However, in general, neither univariate nor multivariate $\alpha$-stable models admit closed…

Computation · Statistics 2009-12-24 G. W. Peters , S. A. Sisson , Y. Fan

The growing interest in cryptocurrencies has drawn the attention of the financial world to this innovative medium of exchange. This study aims to explore the impact of cryptocurrencies on portfolio performance. We conduct our analysis…

Portfolio Management · Quantitative Finance 2024-01-02 Vahidin Jeleskovic , Claudio Latini , Zahid I. Younas , Mamdouh A. S. Al-Faryan

Few assets in financial history have been as notoriously volatile as cryptocurrencies. While the long term outlook for this asset class remains unclear, we are successful in making short term price predictions for several major crypto…

Trading and Market Microstructure · Quantitative Finance 2019-12-02 David Zhao , Alessandro Rinaldo , Christopher Brookins

Cryptocurrency markets are characterized by extreme volatility, making accurate forecasts essential for effective risk management and informed trading strategies. Traditional deterministic (point) forecasting methods are inadequate for…

Statistical Finance · Quantitative Finance 2025-08-25 Grzegorz Dudek , Witold Orzeszko , Piotr Fiszeder

Stylized facts of empirical assets log-returns $Z$ include the existence of (semi) heavy tailed distributions $f_Z(z)$ and a non-linear spectrum of Hurst exponents $\tau(\beta)$. Empirical data considered are daily prices of 10 large…

Physics and Society · Physics 2008-12-02 Stefan Reimann

This paper studies the forecasting ability of cryptocurrency time series. This study is about the four most capitalized cryptocurrencies: Bitcoin, Ethereum, Litecoin and Ripple. Different Bayesian models are compared, including models with…

Econometrics · Economics 2019-09-17 Rick Bohte , Luca Rossini

Cryptocoins (i.e., Bitcoin, Ether, Litecoin) are tradable digital assets. Ownerships of cryptocoins are registered on distributed ledgers (i.e., blockchains). Secure encryption techniques guarantee the security of the transactions…

Computational Engineering, Finance, and Science · Computer Science 2024-09-06 Pasquale De Rosa , Pascal Felber , Valerio Schiavoni

The efficient market hypothesis has far-reaching implications for financial trading and market stability. Whether or not cryptocurrencies are informationally efficient has therefore been the subject of intense recent investigation. Here, we…

Statistical Finance · Quantitative Finance 2019-02-06 Higor Y. D. Sigaki , Matjaz Perc , Haroldo V. Ribeiro

Cryptocurrency markets exhibit pronounced momentum effects and regime-dependent volatility, presenting both opportunities and challenges for systematic trading strategies. We propose AdaptiveTrend, a multi-component algorithmic trading…

Computational Engineering, Finance, and Science · Computer Science 2026-02-13 Duc Bui , Thanh Nguyen

It is well known that the probability distribution of high-frequency financial returns is characterized by a leptokurtic, heavy-tailed shape. This behavior undermines the typical assumption of Gaussian log-returns behind the standard…

Statistical Finance · Quantitative Finance 2023-06-14 Federica De Domenico , Giacomo Livan , Guido Montagna , Oreste Nicrosini

This work builds upon the long-standing conjecture that linear diffusion models are inadequate for complex market dynamics. Specifically, it provides experimental validation for the author's prior arguments that realistic market dynamics…

Statistical Finance · Quantitative Finance 2025-09-04 Igor Halperin

The cryptocurrency market is amongst the fastest-growing of all the financial markets in the world. Unlike traditional markets, such as equities, foreign exchange and commodities, cryptocurrency market is considered to have larger…

General Finance · Quantitative Finance 2020-04-06 Fan Fang , Waichung Chung , Carmine Ventre , Michail Basios , Leslie Kanthan , Lingbo Li , Fan Wu

The price volatility of cryptocurrencies is often cited as a major hindrance to their wide-scale adoption. Consequently, during the last two years, multiple so called stablecoins have surfaced---cryptocurrencies focused on maintaining…

We prove the strong consistency and the asymptotic normality of the maximum likelihood estimator of the parameters of a general conditionally heteroscedastic model with $\alpha$-stable innovations. Then, we relax the assumptions and only…

Statistics Theory · Mathematics 2013-01-01 Guillaume Lepage

In recent literature it is claimed that BitCoin price behaves more likely to a volatile stock asset than a currency and that changes in its price are influenced by sentiment about the BitCoin system itself; in Kristoufek [10] the author…

Mathematical Finance · Quantitative Finance 2019-09-23 Alessandra Cretarola , Gianna Figà-Talamanca , Marco Patacca

Cryptocurrencies are examined through the asset flow equations and experimental asset markets. Since tangible value of a typical cryptocurrency is non-existent, the theory suggests that price will gravitate toward liquidity value, i.e., the…

Mathematical Finance · Quantitative Finance 2018-02-28 Carey Caginalp , Gunduz Caginalp

Heavy-tailed distributions are widely used in robust mixture modelling due to possessing thick tails. As a computationally tractable subclass of the stable distributions, sub-Gaussian $\alpha$-stable distribution received much interest in…

Machine Learning · Statistics 2017-01-25 Mahdi Teimouri , Saeid Rezakhah , Adel Mohammdpour

Cryptocurrency markets have attracted many interest for global investors because of their novelty, wide online availability, increasing capitalization and potential profits. In the econophysics tradition we show that many of the most…

Physics and Society · Physics 2022-11-23 Noe Rodriguez-Rodriguez , Octavio Miramontes