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One of the principal statistical features characterizing the activity in financial markets is the distribution of fluctuations in market indicators such as the index. While the developed stock markets, e.g., the New York Stock Exchange…

Physics and Society · Physics 2008-12-02 Raj Kumar Pan , Sitabhra Sinha

The distribution of gross earnings of movies released each year show a distribution having a power-law tail with Pareto exponent $\alpha \simeq 2$. While this offers interesting parallels with income distributions of individuals, it is also…

Physics and Society · Physics 2012-01-11 Sitabhra Sinha , Raj Kumar Pan

There is convincing evidence showing that the probability distributions of stock returns in mature markets exhibit power-law tails and both the positive and negative tails conform to the inverse cubic law. It supports the possibility that…

Statistical Finance · Quantitative Finance 2015-03-13 Guo-Hua Mu , Wei-Xing Zhou

In a recent Nature paper, Gabaix et al. \cite{Gabaix03} presented a theory to explain the power law tail of price fluctuations. The main points of their theory are that volume fluctuations, which have a power law tail with exponent roughly…

Statistical Mechanics · Physics 2008-12-02 J. Doyne Farmer , Fabrizio Lillo

We use daily data on bilateral interbank exposures and monthly bank balance sheets to study network characteristics of the Russian interbank market over Aug 1998 - Oct 2004. Specifically, we examine the distributions of (un)directed…

General Finance · Quantitative Finance 2015-03-10 Benjamin Vandermarliere , Alexei Karas , Jan Ryckebusch , Koen Schoors

The herd behavior of returns is investigated in Korean futures exchange market. It is obtained that the probability distribution of returns for three types of herding parameter scales as a power law $R^{-\beta}$ with the exponents $…

Statistical Mechanics · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon , Yup Kim

Pareto law, which states that wealth distribution in societies have a power-law tail, has been a subject of intensive investigations in statistical physics community. Several models have been employed to explain this behavior. However, most…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Ali Saif , Prashant M. Gade

This paper analyzes the equilibrium distribution of wealth in an economy where firms' productivities are subject to idiosyncratic shocks, returns on factors are determined in competitive markets, dynasties have linear consumption functions…

General Finance · Quantitative Finance 2009-06-11 Davide Fiaschi , Matteo Marsili

Based on the minute-by-minute data of the Hang Seng Index in Hong Kong and the analysis of probability distribution and autocorrelations, we find that the index fluctuations for the first few minutes of daily opening show behaviors very…

Statistical Mechanics · Physics 2009-10-31 Zhi-Feng Huang

The statistics of natural catastrophes contains very counter-intuitive results. Using earthquakes as a working example, we show that the energy radiated by such events follows a power-law or Pareto distribution. This means, in theory, that…

Statistical Mechanics · Physics 2012-10-04 Alvaro Corral , Francesc Font-Clos

We use data on wealth of the richest persons taken from the "rich lists" provided by business magazines like Forbes to verify if upper tails of wealth distributions follow, as often claimed, a power-law behaviour. The data sets used cover…

Statistical Finance · Quantitative Finance 2015-06-15 Michal Brzezinski

Cross-sectional signatures of market panic were recently discussed on daily time scales in [1], extended here to a study of cross-sectional properties of stocks on intra-day time scales. We confirm specific intra-day patterns of dispersion…

Statistical Finance · Quantitative Finance 2010-10-26 Lisa Borland , Yoan Hassid

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 model of proportional growth to explain the distribution of business firm growth rates. The model predicts that the distribution is exponential in the central part and depicts an asymptotic power-law behavior in the tails…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Dongfeng Fu , Fabio Pammolli , S. V. Buldyrev , Massimo Riccaboni , Kaushik Matia , Kazuko Yamasaki , H. E. Stanley

A mechanism is proposed for the appearance of power law distributions in various complex systems. It is shown that in a conservative mechanical system composed of subsystems with different numbers of degrees of freedom a robust power-law…

Statistical Mechanics · Physics 2018-01-03 Anirban Chakraborti , Marco Patriarca

We study the probability distribution of stock returns at mesoscopic time lags (return horizons) ranging from about an hour to about a month. While at shorter microscopic time lags the distribution has power-law tails, for mesoscopic times…

Statistical Mechanics · Physics 2008-12-02 A. Christian Silva , Richard E. Prange , Victor M. Yakovenko

We analyze three sets of income data: the US Panel Study of Income Dynamics PSID), the British Household Panel Survey (BHPS), and the German Socio-Economic Panel (GSOEP). It is shown that the empirical income distribution is consistent with…

Physics and Society · Physics 2008-12-02 F. Clementi , M. Gallegati

Based on empirical financial time-series, we show that the "silence-breaking" probability follows a super-universal power law: the probability of observing a large movement is inversely proportional to the length of the on-going…

Statistical Finance · Quantitative Finance 2009-09-06 Robert Kitt , Maksim Sakki , Jaan Kalda

We study productivity dispersions across workers, firms and industrial sectors. Empirical study of the Japanese data shows that they all obey the Pareto law, and also that the Pareto index decreases with the level of aggregation. In order…

General Finance · Quantitative Finance 2008-12-02 Hideaki Aoyama , Hiroshi Yoshikawa , Hiroshi Iyetomi , Yoshi Fujiwara

We study the frequency distribution of family names. From a common data base, we count the number of people who share the same family name. This is the size of the family. We find that (i) the total number of different family names in a…

Statistical Mechanics · Physics 2009-10-31 Sasuke Miyazima , Youngki Lee , Tomomasa Nagamine , Hiroaki Miyajima