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Trading volume movement prediction is the key in a variety of financial applications. Despite its importance, there is few research on this topic because of its requirement for comprehensive understanding of information from different…

Statistical Finance · Quantitative Finance 2021-08-26 Liang Zhao , Wei Li , Ruihan Bao , Keiko Harimoto , YunfangWu , Xu Sun

An experimental study was conducted in the CICLoPE long-pipe facility to investigate the correlation between wall-pressure and turbulent velocity fluctuations in the logarithmic region, at high friction Reynolds numbers ($4\,794 \lesssim…

We present a time-dependent Langevin description of dynamics of stock prices. Based on a simple sliding-window algorithm, the fluctuation of stock prices is discussed in the view of a time-dependent linear restoring force which is the…

Physics and Society · Physics 2008-12-02 Zi-Gang Huang , Yong Chen , Yong Zhang , Ying-Hai Wang

The methodology presented provides a quantitative way to characterize investor behavior and price dynamics within a particular asset class and time period. The methodology is applied to a data set consisting of over 250,000 data points of…

General Finance · Quantitative Finance 2020-04-22 Gunduz Caginalp , Mark DeSantis

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

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

In this article we study the dependence degree of the traded volume of the Dow Jones 30 constituent equities by using a nonextensive generalised form of the Kullback-Leibler information measure. Our results show a slow decay of the…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Jeferson de Souza , Luis G. Moyano , Silvio M. Duarte Queiros

Via molecular dynamics simulations of a generic glass former in the supercooled and normal liquid states, it is shown that spatial correlations of strain fluctuations exhibit a crossover from the well-established power-law $\sim…

Soft Condensed Matter · Physics 2020-01-29 Muhammad Hassani , Marian Bruns , Fathollah Varnik

Detrended fluctuation analysis (DFA) is a scaling analysis method used to estimate long-range power-law correlation exponents in noisy signals. Many noisy signals in real systems display trends, so that the scaling results obtained from the…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Kun Hu , Plamen Ch. Ivanov , Zhi Chen , Pedro Carpena , H. Eugene Stanley

We have derived estimators for the linear growth rate of density fluctuations using the cross-correlation function of voids and haloes in redshift space, both directly and in Fourier form. In linear theory, this cross-correlation contains…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-10 Yan-Chuan Cai , Andy Taylor , John A. Peacock , Nelson Padilla

While the use of volatilities is pervasive throughout finance, our ability to determine the instantaneous volatility of stocks is nascent. Here, we present a method for measuring the temporal behavior of stocks, and show that stock prices…

Statistical Finance · Quantitative Finance 2010-07-30 Achilles D. Speliotopoulos

We use Random Matrix Theory (RMT) and information theory to analyze the correlations and flow of information between 64,939 news from The New York Times and 40 world financial indices during 10 months along the period 2015-2016. The set of…

Statistical Finance · Quantitative Finance 2018-04-04 Andrés García-Medina , Leonidas Sandoval Junior , Efraín Urrutia Bañuelos , A. M. Martínez-Argüello

This paper tends to define the quantitative relationship between the stock price and time as a time function. Based on the empirical evidence that the log-return of a stock is the series of white noise, a mathematical model of the integral…

Statistical Finance · Quantitative Finance 2023-02-22 Shengfeng Mei , Hong Gao

We measure the influence of different time-scales on the dynamics of financial market data. This is obtained by decomposing financial time series into simple oscillations associated with distinct time-scales. We propose two new time-varying…

Statistical Finance · Quantitative Finance 2016-11-23 Noemi Nava , Tiziana Di Matteo , Tomaso Aste

The gain-loss asymmetry, observed in the inverse statistics of stock indices is present for logarithmic return levels that are over $2\%$, and it is the result of the non-Pearson type auto-correlations in the index. These non-Pearson type…

Statistical Finance · Quantitative Finance 2016-08-24 Bulcsú Sándor , Ingve Simonsen , Bálint Zsolt Nagy , Zoltán Néda

We present a detailed study of the performance of a trading rule that uses moving average of past returns to predict future returns on stock indexes. Our main goal is to link performance and the stochastic process of the traded asset. Our…

Statistical Finance · Quantitative Finance 2019-07-03 Fernando F. Ferreira , A. Christian Silva , Ju-Yi Yen

We study a percolation model with restrictions on the opening of sites on the square lattice. In this model, each site $s \in \mathbb{Z}^{2}$ starts closed and an attempt to open it occurs at time $t=t_s$, where $(t_s)_{s \in \mathbb{Z}^2}$…

Probability · Mathematics 2025-02-10 Charles S. do Amaral

We address the problem of long-range memory in the financial markets. There are two conceptually different ways to reproduce power-law decay of auto-correlation function: using fractional Brownian motion as well as non-linear stochastic…

Statistical Finance · Quantitative Finance 2017-05-24 V. Gontis , A. Kononovicius

Using Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to…

Statistical Mechanics · Physics 2008-12-02 Jean-Philippe Bouchaud , Yuval Gefen , Marc Potters , Matthieu Wyart

Many studies in Economics and other disciplines have been reporting distributions following power-law behavior (i.e distributions of incomes (Pareto's law), city sizes (Zipf's law), frequencies of words in long sequences of text etc.)[1, 6,…

Mathematical Physics · Physics 2008-12-10 Francesco Vallone
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