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The earth's ionosphere is well recognized as a dynamical system and non-linearly coupled with the magnetosphere above and natural atmosphere below.The shape and time variability of the ionosphere indeed shows chaos, pattern formation,…

Earth and Planetary Astrophysics · Physics 2013-12-13 H. J. Tanna , K. N. Pathak

Markets efficiency implies that the stock returns are intrinsically unpredictable, a property that makes markets comparable to random number generators. We present a novel methodology to investigate ultra-high frequency financial data and…

Statistical Finance · Quantitative Finance 2025-11-24 Silvia Onofri , Andrey Shternshis , Stefano Marmi

This study proposes a hybrid deep learning model for forecasting the price of Bitcoin, as the digital currency is known to exhibit frequent fluctuations. The models used are the Variational Mode Decomposition (VMD) and the Long Short-Term…

Statistical Finance · Quantitative Finance 2025-10-21 Emmanuel Boadi

In this paper, we analyze the time-series of minute price returns on the Bitcoin market through the statistical models of generalized autoregressive conditional heteroskedasticity (GARCH) family. Several mathematical models have been…

Statistical Finance · Quantitative Finance 2021-02-01 Irena Barjašić , Nino Antulov-Fantulin

The performance of the multifractal detrended analysis on short time series is evaluated for synthetic samples of several mono- and multifractal models. The reconstruction of the generalized Hurst exponents is used to determine the range of…

Data Analysis, Statistics and Probability · Physics 2013-11-12 Juan Luis Lopez , Jesus Guillermo Contreras

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

A reputation of high volatility accompanies the emergence of Bitcoin as a financial asset. This paper intends to nuance this reputation and clarify our understanding of Bitcoin's volatility. Using daily, weekly, and monthly closing prices…

Statistical Finance · Quantitative Finance 2021-03-02 Nassim Dehouche

Background: Human gait exhibits complex fractal fluctuations among consecutive strides. The time series of gait parameters are long-range correlated (statistical persistence). In contrast, when gait is synchronized with external rhythmic…

Quantitative Methods · Quantitative Biology 2020-08-17 Philippe Terrier

We investigate the relative information efficiency of financial markets by measuring the entropy of the time series of high frequency data. Our tool to measure efficiency is the Shannon entropy, applied to 2-symbol and 3-symbol…

Statistical Finance · Quantitative Finance 2016-09-15 Lucio Maria Calcagnile , Fulvio Corsi , Stefano Marmi

In the realm of cryptocurrency, the prediction of Bitcoin prices has garnered substantial attention due to its potential impact on financial markets and investment strategies. This paper propose a comparative study on hybrid machine…

Machine Learning · Computer Science 2024-01-02 Shun Liu , Kexin Wu , Chufeng Jiang , Bin Huang , Danqing Ma

We present a comparative analysis of multifractal properties of financial time series built on stock indices from developing (WIG) and developed (S&P500) financial markets. It is shown how the multifractal image of the market is altered…

Statistical Finance · Quantitative Finance 2011-07-19 Dariusz Grech , Lukasz Czarnecki

An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation functions of absolute returns is actually…

Statistical Finance · Quantitative Finance 2015-03-13 Jie-Jun Tseng , Sai-Ping Li

The price of financial assets are, since Bachelier, considered to be described by a (discrete or continuous) time sequence of random variables, i.e a stochastic process. Sharp scaling exponents or unifractal behavior of such processes has…

Statistical Mechanics · Physics 2015-06-25 Marc-Etienne Brachet , Erik Taflin , Jean Marcel Tcheou

Climate change has driven the market to seek new ways of raising funds to mitigate its effects. One such innovation is the emergence of Green Bonds financial assets specifically designed to support sustainable projects. This study explores…

This contribution addresses the question commonly asked in scientific literature about the sources of multifractality in time series. Two primary sources are typically considered. These are temporal correlations and heavy tails in the…

Data Analysis, Statistics and Probability · Physics 2025-01-16 Robert Kluszczyński , Stanisław Drożdż , Jarosław Kwapień , Tomasz Stanisz , Marcin Wątorek

Technical analysis is considered the oldest, currently omnipresent, method for financial markets analysis, which uses past prices aiming at the possible short-term forecast of future prices. In the frame of complex systems, methods used to…

Data Analysis, Statistics and Probability · Physics 2021-06-02 Stelios M. Potirakis , Pavlos I. Zitis , Georgios Balasis , Konstantinos Eftaxias

A new approach to the understanding of the complex behavior of financial markets index using tools from thermodynamics and statistical physics is developed. Physical complexity, a magnitude rooted in the Kolmogorov-Chaitin theory is applied…

Statistical Mechanics · Physics 2009-10-31 Ricardo Mansilla

The number of users approaching the world of cryptocurrencies exploded in the last years, and consequently the daily interactions on their underlying distributed ledgers have intensified. In this paper, we analyze the flow of these digital…

Networking and Internet Architecture · Computer Science 2021-10-29 Luca Serena , Stefano Ferretti , Gabriele D'Angelo

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

A new approach to the understanding of complex behavior of financial markets index using tools from thermodynamics and statistical physics is developed. Physical complexity, a magnitude rooted in Kolmogorov-Chaitin theory is applied to…

Statistical Mechanics · Physics 2008-12-02 R. Mansilla