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We propose a method to measure real-valued time series irreversibility which combines two differ- ent tools: the horizontal visibility algorithm and the Kullback-Leibler divergence. This method maps a time series to a directed network…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Lucas Lacasa , Ángel M. Núñez , Édgar Roldán , Juan M. R. Parrondo , Bartolo Luque

Time irreversibility, defined as the lack of invariance of the statistical properties of a system or time series under the operation of time reversal, has received an increasing attention during the last decades, thanks to the information…

Data Analysis, Statistics and Probability · Physics 2021-11-03 Massimiliano Zanin

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 relation between time series irreversibility and entropy production has been recently investigated in thermodynamic systems operating away from equilibrium. In this work we explore this concept in the context of financial time series.…

Statistical Finance · Quantitative Finance 2016-01-11 Lucas Lacasa , Ryan Flanagan

Crypto-coins (also known as cryptocurrencies) are tradable digital assets. Notable examples include Bitcoin, Ether and Litecoin. Ownerships of cryptocoins are registered on distributed ledgers (i.e., blockchains). Secure encryption…

Statistical Finance · Quantitative Finance 2022-12-05 Pasquale De Rosa , Valerio Schiavoni

This paper offers a thorough examination of the univariate predictability in cryptocurrency time-series. By exploiting a combination of complexity measure and model predictions we explore the cryptocurrencies time-series forecasting task…

Statistical Finance · Quantitative Finance 2025-02-14 Francesco Puoti , Fabrizio Pittorino , Manuel Roveri

Time irreversibility, which characterizes nonequilibrium processes, can be measured based on the probabilistic differences between symmetric vectors. To simplify the quantification of time irreversibility, symmetric permutations instead of…

Signal Processing · Electrical Eng. & Systems 2021-01-20 Wenpo Yao , Jun Wang , Matjaz Perc , Wenli Yao , Jiafei Dai , Daqing Guo , Dezhong Yao

We use the statistical properties of Shannon entropy estimator and Kullback-Leibler divergence to study the predictability of ultra-high frequency financial data. We develop a statistical test for the predictability of a sequence based on…

Statistical Finance · Quantitative Finance 2024-05-20 Andrey Shternshis , Stefano Marmi

Time irreversibility is a common signature of nonlinear processes, and a fundamental property of non-equilibrium systems driven by non-conservative forces. A time series is said to be reversible if its statistical properties are invariant…

Data Analysis, Statistics and Probability · Physics 2021-12-08 Johann H. Martínez , José L. Herrera-Diestra , Mario Chavez

The arrow of time can be quantified through the Kullback-Leibler divergence ($D_{KL}$) between the distributions of forward and reverse trajectories in a system. Many approaches to estimate this rely on specific models, but the use of…

Statistical Mechanics · Physics 2024-12-30 Trevor GrandPre , Gianluca Teza , William Bialek

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

This paper shows that Bitcoin is not correlated to a general uncertainty index as measured by the Google Trends data of Castelnuovo and Tran (2017). Instead, Bitcoin is linked to a Google Trends attention measure specific for the…

Statistical Finance · Quantitative Finance 2021-06-15 Nektarios Aslanidis , Aurelio F. Bariviera , Óscar G. López

This study investigates the volatility of daily Bitcoin returns and multifractal properties of the Bitcoin market by employing the rolling window method and examines relationships between the volatility asymmetry and market efficiency.…

Statistical Finance · Quantitative Finance 2021-02-18 Tetsuya Takaishi

Unlike price fluctuations, the temporal structure of cryptocurrency trading has seldom been a subject of systematic study. In order to fill this gap, we analyse detrended correlations of the price returns, the average number of trades in…

Statistical Finance · Quantitative Finance 2022-08-03 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

Cryptocurrencies aim to replicate physical cash in the digital realm while removing centralized and trusted intermediaries. Decentralization is achieved by the blockchain, a permanent public ledger that contains a record of every…

Cryptography and Security · Computer Science 2024-06-04 Domokos Miklós Kelen , István András Seres

Recently, continual learning has received a lot of attention. One of the significant problems is the occurrence of \emph{concept drift}, which consists of changing probabilistic characteristics of the incoming data. In the case of the…

Machine Learning · Computer Science 2022-10-11 Sebastián Basterrech , Michal Woźniak

Cryptocurrencies return cross-predictability and technological similarity yield information on risk propagation and market segmentation. To investigate these effects, we build a time-varying network for cryptocurrencies, based on the…

Statistical Finance · Quantitative Finance 2021-08-27 Li Guo , Wolfgang Karl Härdle , Yubo Tao

Cryptocurrencies return cross-predictability and technological similarity yield information on risk propagation and market segmentation. To investigate these effects, we build a time-varying network for cryptocurrencies, based on the…

Methodology · Statistics 2022-11-18 Li Guo , Wolfgang Karl Härdle , Yubo Tao

The concept of varentropy has been recently introduced as a dispersion index of the reliability of measure of information. In this paper, we introduce new measures of variability for two measures of uncertainty, the Kerridge inaccuracy…

Probability · Mathematics 2021-12-16 Francesco Buono , Camilla Calì , Maria Longobardi

Correlation networks were used to detect characteristics which, although fixed over time, have an important influence on the evolution of prices over time. Potentially important features were identified using the websites and whitepapers of…

Computational Finance · Quantitative Finance 2018-06-19 Andrew Burnie
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