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In addressing the question of the time scales characteristic for the market formation, we analyze high frequency tick-by-tick data from the NYSE and from the German market. By using returns on various time scales ranging from seconds or…

Statistical Mechanics · Physics 2009-11-10 J. Kwapien , S. Drozdz , J. Speth

We extend a linear version of the liquidity risk model of Cetin et al. (2004) to allow for price impacts. We show that the impact of a market order on prices depends on the size of the transaction and the level of liquidity. We obtain a…

Probability · Mathematics 2009-12-10 Alexandre F. Roch

Order effects occur when judgments about a hypothesis's probability given a sequence of information do not equal the probability of the same hypothesis when the information is reversed. Different experiments have been performed in the…

Artificial Intelligence · Computer Science 2021-09-24 Catarina Moreira , Jose Acacio de Barros

We present two statistical causes for the distortion of correlations on high-frequency financial data. We demonstrate that the asynchrony of trades as well as the decimalization of stock prices has a large impact on the decline of the…

Statistical Finance · Quantitative Finance 2010-10-01 Michael C. Münnix , Rudi Schäfer , Thomas Guhr

We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible…

Statistical Finance · Quantitative Finance 2015-03-17 Daniel J. Fenn , Mason A. Porter , Stacy Williams , Mark McDonald , Neil F. Johnson , Nick S. Jones

Asynchrony, overlaps and delays in sensory-motor signals introduce ambiguity as to which stimuli, actions, and rewards are causally related. Only the repetition of reward episodes helps distinguish true cause-effect relationships from…

Neural and Evolutionary Computing · Computer Science 2014-09-10 Andrea Soltoggio

This is the first paper that estimates the price determinants of BitCoin in a Generalised Autoregressive Conditional Heteroscedasticity framework using high frequency data. Derived from a theoretical model, we estimate BitCoin transaction…

Statistical Finance · Quantitative Finance 2018-12-27 Pavel Ciaian , d'Artis Kancs , Miroslava Rajcaniova

Identifying the causal structure of systems with multiple dynamic elements is critical to several scientific disciplines. The conventional approach is to conduct statistical tests of causality, for example with Granger Causality, between…

Machine Learning · Statistics 2022-03-22 Jacek P. Dmochowski

We describe how the market-based average and volatility of the "actual" return, which the investors gain within their market sales, depend on the statistical moments, volatilities, and correlations of the current and past market trade…

General Economics · Economics 2024-02-22 Victor Olkhov

We study the bandit problem where arms are associated with stationary phi-mixing processes and where rewards are therefore dependent: the question that arises from this setting is that of recovering some independence by ignoring the value…

Machine Learning · Computer Science 2014-06-24 Julien Audiffren , Liva Ralaivola

We study the information dynamics between the largest Bitcoin exchange markets during the bubble in 2017-2018. By analysing high-frequency market-microstructure observables with different information theoretic measures for dynamical…

Statistical Finance · Quantitative Finance 2022-05-04 Vaiva Vasiliauskaite , Fabrizio Lillo , Nino Antulov-Fantulin

In this paper we propose a deep recurrent model based on the order flow for the stationary modelling of the high-frequency directional prices movements. The order flow is the microsecond stream of orders arriving at the exchange, driving…

Statistical Finance · Quantitative Finance 2020-04-06 Ye-Sheen Lim , Denise Gorse

In this study, we establish a connection between timelike and spacelike entanglement entropy. We show that timelike entanglement entropy is closely related to spacelike entanglement entropy and its temporal derivative. For a broad class of…

High Energy Physics - Theory · Physics 2026-01-01 Wu-zhong Guo , Song He , Yu-Xuan Zhang

We simulate a series of daily returns from intraday price movements initiated by microstructure elements. Significant evidence is found that daily returns and daily return volatility exhibit first order autocorrelation, but trading volume…

Statistical Mechanics · Physics 2008-12-02 Andreas Krause

We present an empirical analysis of the microstructure of financial markets and, in particular, of the static and dynamic properties of liquidity. We find that on relatively large time scales (15 minutes) large price fluctuations are…

Trading and Market Microstructure · Quantitative Finance 2015-12-09 Francesco Corradi , Andrea Zaccaria , Luciano Pietronero

We show that the cost of market orders and the profit of infinitesimal market-making or -taking strategies can be expressed in terms of directly observable quantities, namely the spread and the lag-dependent impact function. Imposing that…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Matthieu Wyart , Jean-Philippe Bouchaud , Julien Kockelkoren , Marc Potters , Michele Vettorazzo

It has been demonstrated that systems of tightly packed inner planets with giant exterior companions tend to have less regular orbital spacings than those without such companions. We investigate whether this observed increase in the gap…

Earth and Planetary Astrophysics · Physics 2024-12-30 Joseph R. Livesey , Juliette Becker

We discuss the usual account of causal structure that relies on the temporal precedence constraint between cause-effect pairs. In particular, we consider the subtle interplay between local and global characters of time and causality encoded…

Astrophysics · Physics 2007-05-23 Eric Bois , Eric Trelut

Graph or network representations are an important foundation for data mining and machine learning tasks in relational data. Many tools of network analysis, like centrality measures, information ranking, or cluster detection rest on the…

Social and Information Networks · Computer Science 2022-02-10 Luka V. Petrovic , Ingo Scholtes

We document stable cross-asset patterns in cryptocurrency limit-order-book microstructure: the same engineered order book and trade features exhibit remarkably similar predictive importance and SHAP dependence shapes across assets spanning…

Trading and Market Microstructure · Quantitative Finance 2026-02-03 Bartosz Bieganowski , Robert Ślepaczuk