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The higher-end tail of the wealth distribution in India is studied using recently published lists of the wealth of richest Indians between the years 2002-4. The resulting rank distribution seems to imply a power-law tail for the wealth…

Other Condensed Matter · Physics 2009-11-11 Sitabhra Sinha

We study the rank distribution, the cumulative probability, and the probability density of returns of stock prices of listed firms traded in four stock markets. We find that the rank distribution and the cumulative probability of stock…

Other Condensed Matter · Physics 2008-12-02 Kyungsik Kim , S. -M. Yoon , K. H. Chang

This paper investigates the rank distribution, cumulative probability, and probability density of price returns for the stocks traded in the KSE and the KOSDAQ market. This research demonstrates that the rank distribution is consistent…

Statistical Mechanics · Physics 2008-12-02 Kyungsik Kim , S. -M. Yoon , C. Christopher Lee , K. H. Chang

We study the relaxation dynamics of a financial market just after the occurrence of a crash by investigating the number of times the absolute value of an index return is exceeding a given threshold value. We show that the empirical…

Statistical Mechanics · Physics 2008-12-02 Fabrizio Lillo , Rosario N. Mantegna

We investigate the shape of the Italian personal income distribution using microdata from the Survey on Household Income and Wealth, made publicly available by the Bank of Italy for the years 1977--2002. We find that the upper tail of the…

Other Condensed Matter · Physics 2009-01-31 F. Clementi , M. Gallegati

One of the first steps to understand and forecast economic downturns is identifying their frequency distribution, but it remains uncertain. This problem is common in phenomena displaying power-law-like distributions. Power laws play a…

Adaptation and Self-Organizing Systems · Physics 2013-10-10 Salvador Pueyo

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…

More than one billion data sampled with different frequencies from several financial instruments were investigated with the aim of testing whether they involve power law. As a result, a known power law with the power exponent around -4 was…

Statistical Finance · Quantitative Finance 2020-10-06 Caglar Tuncay

In order to study the phenomenon in detail that income distribution follows Pareto law, we analyze the database of high income companies in Japan. We find a quantitative relation between the average capital of the companies and the Pareto…

Other Condensed Matter · Physics 2009-11-10 Atushi Ishikawa

Gradually Truncated Log-normal distribution - Size distribution of firms Abstract Many natural and economical phenomena are described through power law or log- normal distributions. In these cases, probability decreases very slowly with…

Statistical Mechanics · Physics 2008-12-02 Hari M. Gupta , Jose R. Campanha

The present paper describes a stochastic model of fracture, whose fragment size distribution can be calculated analytically as a power-law-like distribution. The model is basically cascade fracture, but incorporates the effect that each…

Statistical Mechanics · Physics 2013-04-10 Ken Yamamoto , Yoshihiro Yamazaki

We discuss several models in order to shed light on the origin of power-law distributions and power-law correlations in financial time series. From an empirical point of view, the exponents describing the tails of the price increments…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud

We analyze a database comprising quarterly sales of 55624 pharmaceutical products commercialized by 3939 pharmaceutical firms in the period 1992--2001. We study the probability density function (PDF) of growth in firms and product sales and…

We respond to the issues discussed by Farmer and Lillo (FL) related to our proposed approach to understanding the origin of power-law distributions in stock price fluctuations. First, we extend our previous analysis to 1000 US stocks and…

Disordered Systems and Neural Networks · Physics 2008-12-02 Vasiliki Plerou , Parameswaran Gopikrishnan , Xavier Gabaix , H. Eugene Stanley

In this paper, we describe a newly discovered statistical property of time series data for daily price changes. We conducted quantitative investigation of the {\it calm-time intervals} of price changes for 800 companies listed in the Tokyo…

Statistical Mechanics · Physics 2013-09-11 Taisei Kaizoji , Michiyo Kaizoji

The growth of business firms is an example of a system of complex interacting units that resembles complex interacting systems in nature such as earthquakes. Remarkably, work in econophysics has provided evidence that the statistical…

Statistical Finance · Quantitative Finance 2019-01-30 Nathan C. Frey , Sakib Matin , H. Eugene Stanley , Michael Salinger

We present a phenomenological study of stock price fluctuations of individual companies. We systematically analyze two different databases covering securities from the three major US stock markets: (a) the New York Stock Exchange, (b) the…

Statistical Mechanics · Physics 2009-10-31 V. Plerou , P. Gopikrishnan , L. A. N. Amaral , M. Meyer , H. E. Stanley

Following findings by Ormerod and Mounfield, Wright rises the problem whether a power or an exponential law describes the distribution of occurrences of economic recession periods. In order to clarify the controversy a different set of GDP…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Janusz Miskiewicz , Michele Sanglier

We investigate the problem of wealth distribution from the viewpoint of asset exchange. Robust nature of Pareto's law across economies, ideologies and nations suggests that this could be an outcome of trading strategies. However, the simple…

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

We study the growth dynamics of the size of manufacturing firms considering competition and normal distribution of competency. We start with the fact that all components of the system struggle with each other for growth as happened in real…

Statistical Mechanics · Physics 2009-11-07 Hari M. Gupta , Jose R. Campanha