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A time series that represents daily values of the WIG index (the main index of Warsaw Stock Exchange) over last 5 years is examined. Non-Gaussian features of distributions of fluctuations, namely returns, over a time scale are considered.…

Statistical Mechanics · Physics 2008-12-02 Danuta Makowiec , Piotr Gnacinski

Fractal time series has been shown to be self-affine and are characterized by a roughness exponent H. The exponent H is a measure of the persistence of the fluctuations associated with the time series. We use a recently introduced method…

Statistical Mechanics · Physics 2007-05-23 J. R. Sanchez , C. M. Arizmendi

The statistical properties of the bid-ask spread of a frequently traded Chinese stock listed on the Shenzhen Stock Exchange are investigated using the limit-order book data. Three different definitions of spread are considered based on the…

Physics and Society · Physics 2008-12-02 Gao-Feng Gu , Wei Chen , Wei-Xing Zhou

In the work, a comparative correlation and fractal analysis of time series of Bitcoin crypto currency rate and community activities in social networks associated with Bitcoin was conducted. A significant correlation between the Bitcoin rate…

Statistical Finance · Quantitative Finance 2019-05-06 Lyudmyla Kirichenko , Vitalii Bulakh , Tamara Radivilova

We report tensile failure experiments on paper sheets. The acoustic emission energy and the waiting times between acoustic events follow power-law distributions. This remains true while the strain rate is varied by more than two orders of…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. I. Salminen , A. I. Tolvanen , M. J. Alava

In a power system, the load demand considers two components such as the real power (P) because of resistive elements, and the reactive power (Q) because inductive or capacitive elements. This paper presents a graphical representation of the…

Signal Processing · Electrical Eng. & Systems 2019-01-16 Héctor A. Tabares-Ospina , John E. Candelo-Becerra

Stock price changes occur through transactions, just as diffusion in physical systems occurs through molecular collisions. We systematically explore this analogy and quantify the relation between trading activity - measured by the number of…

We develop a behavioral asset pricing model in which agents trade in a market with information friction. Profit-maximizing agents switch between trading strategies in response to dynamic market conditions. Due to noisy private information…

Trading and Market Microstructure · Quantitative Finance 2019-05-02 Zhentao Shi , Huanhuan Zheng

The scaling properties of oil price fluctuations are described as a non-stationary stochastic process realized by a time series of finite length. An original model is used to extract the scaling exponent of the fluctuation functions within…

Statistical Finance · Quantitative Finance 2008-12-02 M. Momeni , I. Kourakis , K. Talebi

Long-range correlation in financial time series reflects the complex dynamics of the stock markets driven by algorithms and human decisions. Our analysis exploits ultra-high frequency order book data from NASDAQ Nordic over a period of…

Trading and Market Microstructure · Quantitative Finance 2017-11-10 Martin Magris , Jiyeong Kim , Esa Rasanen , Juho Kanniainen

We study by theoretical analysis and by direct numerical simulation the dynamics of a wide class of asynchronous stochastic systems composed of many autocatalytic degrees of freedom. We describe the generic emergence of truncated power laws…

Statistical Mechanics · Physics 2009-10-31 Zhi-Feng Huang , Sorin Solomon

Online auctions are fast gaining popularity in today's electronic commerce. Relative to offline auctions, there is a greater degree of multiple bidding and late bidding in online auctions, an empirical finding by some recent research. These…

Statistics Theory · Mathematics 2007-06-13 Sharad Borle , Peter Boatwright , Joseph B. Kadane

We develop a behavioral model for liquidity and volatility based on empirical regularities in trading order flow in the London Stock Exchange. This can be viewed as a very simple agent based model in which all components of the model are…

Statistical Finance · Quantitative Finance 2008-12-02 Szabolcs Mike , J. Doyne Farmer

The scope of the paper is the theoretical analysis of the time rate in which a dynamical system reaches a stable stationary state or stable oscillations. The method used for the analysis is based on the so-called iterative time profiles,…

General Mathematics · Mathematics 2026-02-10 Marek Berezowski , Katarzyna Bizon

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 investigate the emergence of a structure in the correlation matrix of assets' returns as the time-horizon over which returns are computed increases from the minutes to the daily scale. We analyze data from different stock markets (New…

Physics and Society · Physics 2010-12-08 Christian Borghesi , Matteo Marsili , Salvatore Miccichè

The temporal evolution of mechanical energy and spatially-averaged crack speed are both monitored in slowly fracturing artificial rocks. Both signals display an irregular burst-like dynamics, with power-law distributed fluctuations spanning…

Statistical Mechanics · Physics 2016-02-26 Jonathan Barés , Lamine Hattali , Davy Dalmas , Daniel Bonamy

We analyze the sequence of time intervals between consecutive stock trades of thirty companies representing eight sectors of the U. S. economy over a period of four years. For all companies we find that: (i) the probability density function…

Statistical Mechanics · Physics 2009-11-10 Plamen Ch. Ivanov , Ainslie Yuen , Boris Podobnik , Youngki Lee

Based on the tick-by-tick stock prices from the German and American stock markets, we study the statistical properties of the distribution of the individual stocks and the index returns in highly collective and noisy intervals of trading,…

Soft Condensed Matter · Physics 2015-06-24 J. Kwapien , S. Drozdz , J. Speth

We complement the theory of tick-by-tick dynamics of financial markets based on a Continuous-Time Random Walk (CTRW) model recently proposed by Scalas et al., and we point out its consistency with the behaviour observed in the waiting-time…

Statistical Mechanics · Physics 2009-10-31 Francesco Mainardi , Marco Raberto , Rudolf Gorenflo , Enrico Scalas
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