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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

We quantify Non Fungible Token (NFT) rarity and investigate how it impacts market behaviour by analysing a dataset of 3.7M transactions collected between January 2018 and June 2022, involving 1.4M NFTs distributed across 410 collections.…

Statistical Finance · Quantitative Finance 2024-05-24 Amin Mekacher , Alberto Bracci , Matthieu Nadini , Mauro Martino , Laura Alessandretti , Luca Maria Aiello , Andrea Baronchelli

Financial markets exhibit an apparent paradox: while directional price movements remain largely unpredictable--consistent with weak-form efficiency--the magnitude of price changes displays systematic structure. Here we demonstrate that…

Trading and Market Microstructure · Quantitative Finance 2025-12-19 Mainak Singha

The analysis which assumes that tick by tick data is linear may lead to wrong conclusions if the underlying process is multiplicative. We compare data analysis done with the return and stock differences and we study the limits within the…

Statistical Mechanics · Physics 2008-12-02 Jaume Masoliver , Miquel Montero , Josep Perello

Because of the theoretical challenges posed by the Efficient Market Hypothesis to technical analysis, the effectiveness of technical indicators in high-frequency trading remains inadequately explored, particularly at the minute-level…

Computational Finance · Quantitative Finance 2025-03-04 Akash Deep , Abootaleb Shirvani , Chris Monico , Svetlozar Rachev , Frank J. Fabozzi

The paper studies the linear model for Bitcoin price which includes regression features based on Bitcoin currency statistics, mining processes, Google search trends, Wikipedia pages visits. The pattern of deviation of regression model…

Statistical Finance · Quantitative Finance 2022-01-11 Bohdan M. Pavlyshenko

Discrimination between non-stationarity and long-range dependency is a difficult and long-standing issue in modelling financial time series. This paper uses an adaptive spectral technique which jointly models the non-stationarity and…

Statistical Finance · Quantitative Finance 2019-02-12 Nick James , Roman Marchant , Richard Gerlach , Sally Cripps

We show that results from the theory of random matrices are potentially of great interest to understand the statistical structure of the empirical correlation matrices appearing in the study of price fluctuations. The central result of the…

Condensed Matter · Physics 2009-10-31 Laurent Laloux , Pierre Cizeau , Jean-Philippe Bouchaud , Marc Potters

Multivariate Distributions are needed to capture the correlation structure of complex systems. In previous works, we developed a Random Matrix Model for such correlated multivariate joint probability density functions that accounts for the…

Statistical Finance · Quantitative Finance 2025-12-02 Anton J. Heckens , Efstratios Manolakis , Cedric Schuhmann , Thomas Guhr

In this paper we present a rather general phenomenological theory of tick-by-tick dynamics in financial markets. Many well-known aspects, such as the L\'evy scaling form, follow as particular cases of the theory. The theory fully takes into…

Disordered Systems and Neural Networks · Physics 2009-10-31 Enrico Scalas , Rudolf Gorenflo , Francesco Mainardi

Overwhelming majority of econometric models applied on a long term basis in the financial forex market do not work sufficiently well. The reason is that transaction costs and arbitrage opportunity are not included, as this does not simulate…

Statistical Finance · Quantitative Finance 2015-11-23 Richard Pinčák , Erik Bartoš

We propose a novel approach that allows to calculate Hilbert transform based complex correlation for unevenly spaced data. This method is especially suitable for high frequency trading data, which are of a particular interest in finance.…

Statistical Finance · Quantitative Finance 2018-03-14 Mateusz Wilinski , Yuichi Ikeda , Hideaki Aoyama

Many studies that gather social network data use survey methods that lead to censored, missing or otherwise incomplete information. For example, the popular fixed rank nomination (FRN) scheme, often used in studies of schools and…

Methodology · Statistics 2012-12-27 Peter Hoff , Bailey Fosdick , Alex Volfovsky , Katherine Stovel

In high-frequency financial data not only returns, but also waiting times between consecutive trades are random variables. Therefore, it is possible to apply continuous-time random walks (CTRWs) as phenomenological models of the…

Physics and Society · Physics 2008-12-10 Enrico Scalas , Rudolf Gorenflo , Hugh Luckock , Francesco Mainardi , Maurizio Mantelli , Marco Raberto

This paper continues a series of studies devoted to analysis of the bivariate probability distribution P(x,y) of two consecutive price increments x (push) and y (response) at intraday timescales for a group of stocks. Besides the asymmetry…

Physics and Society · Physics 2008-12-02 Andrei Leonidov , Vladimir Trainin , Alexander Zaitsev , Sergey Zaitsev

Correlations between random variables play an important role in applications, e.g.\ in financial analysis. More precisely, accurate estimates of the correlation between financial returns are crucial in portfolio management. In particular,…

Methodology · Statistics 2014-01-31 Pedro Galeano , Dominik Wied

In complex systems, crucial parameters are often subject to unpredictable changes in time. Climate, biological evolution and networks provide numerous examples for such non-stationarities. In many cases, improved statistical models are…

Statistical Finance · Quantitative Finance 2015-12-09 Frederik Meudt , Martin Theissen , Rudi Schäfer , Thomas Guhr

In this paper, we show how to estimate the asymptotic (conditional) covariance matrix, which appears in central limit theorems in high-frequency estimation of asset return volatility. We provide a recipe for the estimation of this matrix by…

Econometrics · Economics 2026-01-26 Kim Christensen , Mark Podolskij , Nopporn Thamrongrat , Bezirgen Veliyev

In high-frequency financial data not only returns, but also waiting times between consecutive trades are random variables. Therefore, it is possible to apply continuous-time random walks (CTRWs) as phenomenological models of the…

Statistical Mechanics · Physics 2008-12-02 Enrico Scalas , Rudolf Gorenflo , Francesco Mainardi , Maurizio Mantelli , Marco Raberto

High frequency data in finance have led to a deeper understanding on probability distributions of market prices. Several facts seem to be well stablished by empirical evidence. Specifically, probability distributions have the following…

Statistical Mechanics · Physics 2009-10-31 Jaume Masoliver , Miquel Montero , Josep M. Porra
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