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Related papers: Components of multifractality in high-frequency st…

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We study the distributions of event-time returns and clock-time returns at different microscopic timescales using ultra-high-frequency data extracted from the limit-order books of 23 stocks traded in the Chinese stock market in 2003. We…

Statistical Finance · Quantitative Finance 2008-12-02 Gao-Feng Gu , Wei Chen , Wei-Xing Zhou

We introduce a new dynamic factor correlation model with a novel variation-free parametrization of factor loadings. The model is applicable to high dimensions and can accommodate time-varying correlations, heterogeneous heavy-tailed…

Econometrics · Economics 2025-03-04 Chen Tong , Peter Reinhard Hansen

We propose to verify relations between quantities which characterize scaling properties of high energy density fluctuations in terms of factorial moments and newly introduced associated frequency moments. Typical examples are presented in…

High Energy Physics - Phenomenology · Physics 2014-11-17 Mikulaas Blazek

In this paper, we study long-term correlations and multifractal properties elaborated from time series of three-phase current signals coming from an industrial electric arc furnace plant. Implicit sinusoidal trends are suitably detected by…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Lorenzo Livi , Enrico Maiorino , Antonello Rizzi , Alireza Sadeghian

We introduce a class of models containing robust and analytically demonstrable multifractality induced by disorder correlations. Specifically, we investigate the statistics of eigenstates of disordered tight-binding models on two classes of…

Disordered Systems and Neural Networks · Physics 2025-11-27 David E. Logan , Sthitadhi Roy

We present an empirical study of the subordination hypothesis for a stochastic time series of a stock price. The fluctuating rate of trading is identified with the stochastic variance of the stock price, as in the continuous-time random…

Physics and Society · Physics 2008-12-02 A. Christian Silva , Victor M. Yakovenko

A systematic study of the relations between fluctuations of the extensive multiparticle variables and integrals of the inclusive multipaticle densities is analysed. The generalized factorial moments are introduced and their physical meaning…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas

The dynamics of the equal-time cross-correlation matrix of multivariate financial time series is explored by examination of the eigenvalue spectrum over sliding time windows. Empirical results for the S&P 500 and the Dow Jones Euro Stoxx 50…

Statistical Finance · Quantitative Finance 2010-02-02 Thomas Conlon , Heather J. Ruskin , Martin Crane

Recently, Mike and Farmer have constructed a very powerful and realistic behavioral model to mimick the dynamic process of stock price formation based on the empirical regularities of order placement and cancelation in a purely order-driven…

Statistical Finance · Quantitative Finance 2009-02-23 Gao-Feng Gu , Wei-Xing Zhou

We exploit a continuous time random walk description of stock prices to obtain a fast and accurate evaluation of their volatility from intraday data. We show that financial markets are usefully described as open physical systems. Indeed we…

Other Condensed Matter · Physics 2008-12-02 Rosario Bartiromo

We propose a new method of measuring the third and fourth moments of return distribution based on quadratic variation method when the return process is assumed to have zero drift. The realized third and fourth moments variations computed…

Pricing of Securities · Quantitative Finance 2013-11-21 Geon Ho Choe , Kyungsub Lee

Using high-frequency time series of stock prices and share volumes sizes from January 2002-May 2009, this paper investigates whether the effects of the onset of high-frequency trading, most prominent since 2005, are apparent in the dynamics…

Trading and Market Microstructure · Quantitative Finance 2010-09-22 Reginald D. Smith

This paper systematically conducts an analysis of the composite index 1-min datasets over the 17-year period (2005-2021) for both the Shanghai and Shenzhen stock exchanges. To reveal the difference between the Chinese and the mature stock…

Statistical Finance · Quantitative Finance 2023-11-27 Peng Liu , Yanyan Zheng

We investigate the large-volatility dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after large volatilities is characterized by a…

Statistical Finance · Quantitative Finance 2011-03-28 X. F. Jiang , B. Zheng , J. Shen

In financial markets, not only prices and returns can be considered as random variables, but also the waiting time between two transactions varies randomly. In the following, we analyse the statistical properties of General Electric stock…

Statistical Mechanics · Physics 2009-11-07 M. Raberto , E. Scalas , F. Mainardi

In the present work we investigate the multiscale nature of the correlations for high frequency data (1 minute) in different futures markets over a period of two years, starting on the 1st of January 2003 and ending on the 31st of December…

Statistical Finance · Quantitative Finance 2009-11-13 M. Bartolozzi , C. Mellen , T. Di Matteo , T. Aste

We study the statistical properties of volatility---a measure of how much the market is likely to fluctuate. We estimate the volatility by the local average of the absolute price changes. We analyze (a) the S&P 500 stock index for the…

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

Statistical Finance · Quantitative Finance 2025-08-19 Ixandra Achitouv

We present a exactly soluble model for financial time series that mimics the long range volatility correlations known to be present in financial data. Although our model is `monofractal' by construction, it shows apparent multiscaling as a…

Condensed Matter · Physics 2015-06-25 Jean-Philippe Bouchaud , Marc Potters , Martin Meyer

We study the relation between serial correlation of financial returns and volatility at intraday level for the S&P500 stock index. At daily and weekly level, serial correlation and volatility are known to be negatively correlated (LeBaron…

Statistical Finance · Quantitative Finance 2008-12-02 Simone Bianco , Fulvio Corsi , Roberto Reno'