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The problem of non-stationarity in financial markets is discussed and related to the dynamic nature of price volatility. A new measure is proposed for estimation of the current asset volatility. A simple and illustrative explanation is…

Statistical Finance · Quantitative Finance 2016-09-08 Sergey S. Stepanov

Predicting the trend of Bitcoin, a highly volatile cryptocurrency, remains a challenging task. Accurate forecasting holds immense potential for investors and market participants dealing with High Frequency Trading systems. The purpose of…

Computational Engineering, Finance, and Science · Computer Science 2024-07-11 Zeinab Shahsafdari , Ahmad Kalhor

The availability of data on digital traces is growing to unprecedented sizes, but inferring actionable knowledge from large-scale data is far from being trivial. This is especially important for computational finance, where digital traces…

Social and Information Networks · Computer Science 2016-05-13 David Garcia , Frank Schweitzer

Although recent studies have found that the long-term correlations relating to the fat-tailed distribution of inter-event times exist in human activity, and that these correlations indicate the presence of fractality, the property of…

Physics and Society · Physics 2018-04-03 Yu-Hao Qin , Zhi-Dan Zhao , Shi-Min Cai , Liang Gao , H. Eugene Stanley

Understanding the variations in trading price (volatility), and its response to exogenous information, is a well-researched topic in finance. In this study, we focus on finding stable and accurate volatility predictors for a relatively new…

Statistical Finance · Quantitative Finance 2022-12-07 M. Eren Akbiyik , Mert Erkul , Killian Kaempf , Vaiva Vasiliauskaite , Nino Antulov-Fantulin

The quantitative analysis of financial time series often reveals two distinct features that standard Gaussian frameworks fail to capture: heavy-tailed marginal distributions and the phenomenon of extreme co-movements.While extreme value…

Statistics Theory · Mathematics 2026-05-14 Debanjana Datta , Diganta Mukherjee

Social, technological and economic time series are divided by events which are usually assumed to be random albeit with some hierarchical structure. It is well known that the interevent statistics observed in these contexts differs from the…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 J. Perello , J. Masoliver , A. Kasprzak , R. Kutner

We use the analytical model recently introduced in Ref. \cite{lp92}, to investigate the statistics of temperature fluctuations on the cosmic microwave background (CMB), induced by topological defects. The cases of cosmic strings and…

High Energy Physics - Phenomenology · Physics 2010-11-01 Leandros Perivolaropoulos

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…

General Economics · Economics 2025-08-11 Yulin Liu , Luyao Zhang , Yinhong Zhao

We discuss the origin of multiscaling in financial time-series and investigate how to best quantify it. Our methodology consists in separating the different sources of measured multifractality by analysing the multi/uni-scaling behaviour of…

Statistical Finance · Quantitative Finance 2015-09-22 Riccardo Junior Buonocore , Tomaso Aste , Tiziana Di Matteo

This paper is the first of a series of short articles that explore the efficiency of major cryptocurrency markets. A number of statistical tests and properties of statistical distributions will be used to assess if cryptocurrency markets…

Statistical Finance · Quantitative Finance 2020-04-01 Eugene Tartakovsky , Ksenia Plesovskikh , Anastasiia Sarmakeeva , Alexander Bibik

A statistical study of cis-regulatory modules (CRMs) is presented based on the estimation of similar-word set distribution. It is observed that CRMs tend to have a fat-tail distribution. A new statistical fat-tail test with two…

Quantitative Methods · Quantitative Biology 2023-08-03 Jian-Jun Shu , Yajing Li

This study empirically re-examines fat tails in stock return distributions by applying statistical methods to an extensive dataset taken from the Korean stock market. The tails of the return distributions are shown to be much fatter in…

General Finance · Quantitative Finance 2019-06-26 Cheoljun Eom , Taisei Kaizoji , Enrico Scalas

In this study, we examine the fluctuation in the value of the Great Britain Pound (GBP). We focus particularly on its relationship with the United States Dollar (USD) and the Euro (EUR) currency pairs. Utilizing data from June 15, 2018, to…

Statistical Finance · Quantitative Finance 2024-02-13 Narayan Tondapu

This paper introduces a Bayesian vector autoregression (BVAR) with stochastic volatility-in-mean and time-varying skewness. Unlike previous approaches, the proposed model allows both volatility and skewness to directly affect macroeconomic…

Econometrics · Economics 2025-10-10 Leonardo N. Ferreira , Haroon Mumtaz , Ana Skoblar

The third moment variation of a financial asset return process is defined by the quadratic covariation between the return and square return processes. The skew and fat tail risk of an underlying asset can be hedged using a third moment…

Pricing of Securities · Quantitative Finance 2019-08-15 Kyungsub Lee , Byoung Ki Seo

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

In light of micro-scale inefficiencies induced by the high degree of fragmentation of the Bitcoin trading landscape, we utilize a granular data set comprised of orderbook and trades data from the most liquid Bitcoin markets, in order to…

Trading and Market Microstructure · Quantitative Finance 2021-08-24 Jakob Albers , Mihai Cucuringu , Sam Howison , Alexander Y. Shestopaloff

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

We develop a strong diagnostic for bubbles and crashes in bitcoin, by analyzing the coincidence (and its absence) of fundamental and technical indicators. Using a generalized Metcalfe's law based on network properties, a fundamental value…

Econometrics · Economics 2018-03-16 Spencer Wheatley , Didier Sornette , Tobias Huber , Max Reppen , Robert N. Gantner