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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…

统计金融 · 定量金融 2020-10-06 Caglar Tuncay

When the probability of measuring a particular value of some quantity varies inversely as a power of that value, the quantity is said to follow a power law, also known variously as Zipf's law or the Pareto distribution. Power laws appear…

统计力学 · 物理学 2019-09-23 M. E. J. Newman

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…

其他凝聚态物理 · 物理学 2008-12-02 Kyungsik Kim , S. -M. Yoon , K. H. Chang

We show power-scaling behaviors for fluctuations in share volume, which no other studies have so far done. After analyzing a database of the daily transactions for all securities listed on the Tokyo Stock Exchange, we selected 1050 large…

统计力学 · 物理学 2018-08-07 Taisei Kaizoji , Masahide Nuki

Publicly traded companies are fundamental units of contemporary economies and markets and are important mechanisms through which humans interact with their environments. Understanding the general properties that underlie the processes of…

物理与社会 · 物理学 2022-07-07 Jiang Zhang , Christopher P. Kempes , Marcus J. Hamilton , Ruyi Tao , Geoffrey B. West

The rank-size regularity known as Zipf's law is one of scaling laws and frequently observed within the natural living world and in social institutions. Many scientists tried to derive the rank-size scaling relation by entropy-maximizing…

物理与社会 · 物理学 2018-12-21 Yanguang Chen

The different between the inverse power function and the negative exponential function is significant. The former suggests a complex distribution, while the latter indicates a simple distribution. However, the association of the power-law…

物理与社会 · 物理学 2018-12-19 Yanguang Chen

Zipf's power-law distribution is a generic empirical statistical regularity found in many complex systems. However, rather than universality with a single power-law exponent (equal to 1 for Zipf's law), there are many reported deviations…

物理与社会 · 物理学 2015-03-18 Ryohei Hisano , Didier Sornette , Takayuki Mizuno

We introduce a non-growth model that generates the power-law distribution with the Zipf exponent. There are N elements, each of which is characterized by a quantity, and at each time step these quantities are redistributed through binary…

统计力学 · 物理学 2012-04-27 Suhan Ree

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics offers models of markets as complex systems, that try to comprehend macro-, system-wide states of the economy from the…

交易与市场微观结构 · 定量金融 2015-05-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

Public procurement refers to the purchase by public sector entities, such as government departments or local authorities, of Services, Goods, or Works. It accounts for a significant share of OECD countries' expenditures. However, while…

物理与社会 · 物理学 2022-01-19 António Curado , Bruno Damásio , Sara Encarnação , Cristian Candia , Flávio L. Pinheiro

Zipf's law, and power laws in general, have attracted and continue to attract considerable attention in a wide variety of disciplines - from astronomy to demographics to software structure to economics to linguistics to zoology, and even…

物理与社会 · 物理学 2013-05-10 Matt Visser

Power-law distributions with various exponents are studied. We first introduce a simple and generic model that reproduces Zipf's law. We can regard this model both as the time evolution of the population of cities and that of the asset…

统计力学 · 物理学 2007-05-23 Kenji Kawamura , Naomichi Hatano

In this paper, we quantitatively investigate the statistical properties of a statistical ensemble of stock prices. We selected 1200 stocks traded on the Tokyo Stock Exchange, and formed a statistical ensemble of daily stock prices for each…

物理与社会 · 物理学 2015-06-26 Taisei Kaizoji

Power-law distributions are common, particularly in social physics. Here, we explore whether power-laws might arise as a consequence of a general variational principle for stochastic processes. We describe communities of 'social particles',…

物理与社会 · 物理学 2011-12-30 G. J. Peterson , K. A. Dill

Using a model based on generalised Lotka Volterra dynamics together with some recent results for the solution of generalised Langevin equations, we show that the equilibrium solution for the probability distribution of wealth has two…

统计力学 · 物理学 2008-12-10 Peter Richmond , Sorin Solomon

To know the statistical distribution of a variable is an important problem in management of resources. Distributions of the power law type are observed in many real systems. However power law distributions have an infinite variance and thus…

统计力学 · 物理学 2008-12-02 Hari M. Gupta , Jose R. Campanha

Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

凝聚态物理 · 物理学 2009-11-07 P Ormerod , C Mounfield

We consider a version of D. Price's model for the growth of a bibliographic network, where in each iteration a constant number of citations is randomly allocated according to a weighted combination of accidental (uniformly distributed) and…

物理与社会 · 物理学 2022-08-31 Grzegorz Siudem , Przemysław Nowak , Marek Gagolewski

The probability distribution of stock price changes is studied by analyzing a database (the Trades and Quotes Database) documenting every trade for all stocks in three major US stock markets, for the two year period Jan 1994 -- Dec 1995. A…

统计力学 · 物理学 2009-10-31 Parameswaran Gopikrishnan , Martin Meyer , Luis A Nunes Amaral , H Eugene Stanley
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