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We investigate the probability distribution of order imbalance calculated from the order flow data of 43 Chinese stocks traded on the Shenzhen Stock Exchange. Two definitions of order imbalance are considered based on the order number and…

Statistical Finance · Quantitative Finance 2017-07-19 T. Zhang , G. -F. Gu , H. -C. Xu , X. Xiong , W. Chen , W. -X. Zhou

Interpretation of empirical results based on a taxa's lifetime distribution shows apparently conflicting results. Species' lifetime is reported to be exponentially distributed, whereas higher order taxa, such as families or genera, follow a…

Populations and Evolution · Quantitative Biology 2009-11-11 S. Pigolotti , A. Flammini , M. Marsili , A. Maritan

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

In smart energy communities, households of a particular geographical location make a cooperative group to achieve the community's social welfare. Prosumers are the users that both consume and produce energy. In this paper, we develop…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Syed Eqbal Alam , Dhirendra Shukla

We report empirical studies on the personal income distribution, and clarify that the distribution pattern of the lognormal with power law tail is the universal structure. We analyze the temporal change of Pareto index and Gibrat index to…

Statistical Mechanics · Physics 2008-12-02 Wataru Souma

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…

Statistical Mechanics · Physics 2007-05-23 Kenji Kawamura , Naomichi Hatano

Power laws pervade statistical physics and complex systems, but, traditionally, researchers in these fields have paid little attention to properly fit these distributions. Who has not seen (or even shown) a log-log plot of a completely…

Applications · Statistics 2012-09-07 Alvaro Corral , Anna Deluca , Ramon Ferrer-i-Cancho

Power law potentials dictate interactions across scales and matter, controlling the structure and dynamics of inanimate, and living systems. Though the equilibrium distributions of particles with a power law repulsion were extensively…

Soft Condensed Matter · Physics 2025-03-04 Ido Fanto , Yuval Rosenblum , Ori Harel , Naomi Oppenheimer

Power-law (PL) distribution functions (DF) are prevalent in highly diverse systems. The systems range in size from nanometer to mega light years, in complexity from dust grains to living organisms, and characterize the distribution of…

High Energy Astrophysical Phenomena · Physics 2026-04-07 Ari Laor , Igor Gitelman

Carreras, Dobson and colleagues have studied empirical data on the sizes of the blackouts in real grids and modeled them by computer simulations using the direct current approximation. They have found that the resulting blackout sizes are…

Physics and Society · Physics 2021-03-24 Yosef Kornbluth , Gabriel Cwilich , Sergey V. Buldyrev , Saleh Soltan , Gil Zussman

Numerical simulations of particle acceleration in magnetized turbulence have recently observed powerlaw spectra where pile-up distributions are rather expected. We interpret this as evidence for particle segregation based on acceleration…

High Energy Astrophysical Phenomena · Physics 2020-11-19 Martin Lemoine , Mikhail A. Malkov

An analytic model is presented that considers the evolution of a market of durable goods. The model suggests that after introduction goods spread always according to a Bass diffusion. However, this phase will be followed by a diffusion…

General Finance · Quantitative Finance 2013-06-17 Joachim Kaldasch

Distributions following a power-law are an ubiquitous phenomenon. Methods for determining the exponent of a power-law tail by graphical means are often used in practice but are intrinsically unreliable. Maximum likelihood estimators for the…

Other Condensed Matter · Physics 2007-08-11 Heiko Bauke

We empirically investigate distributions of individual consumption expenditure f or four commodity categories conditional on fixed income levels. The data stems from the Family Expenditure Survey carried out annually in the United Kingdom.…

Statistical Mechanics · Physics 2009-11-07 Martin Hohnisch , Sabine Pittnauer , Manisha Chakrabarty

We investigate the dynamic behavior of spin reversal events in the dilute Ising model, focusing on the influence of static disorder introduced by pinned spins. Our Monte Carlo simulations reveal that in a homogeneous, defect-free system,…

Statistical Mechanics · Physics 2025-03-07 Federico Ettori , Timothy J. Sluckin , Paolo Biscari

We study a few dynamical systems composed of many components whose sizes evolve according to multiplicative stochastic rules. We compare them with respect to the emergence of power laws in the size distribution of their components. We show…

Statistical Mechanics · Physics 2007-05-23 Aharon Blank , Sorin Solomon

We present an extensive study of the foreshock and aftershock signatures accompanying peaks of book sales. The time series of book sales are derived from the ranking system of Amazon.com. We present two independent ways of classifying…

Physics and Society · Physics 2009-11-10 F. Deschatres , D. Sornette

Nowadays there is an increasing interest of physicists in finding regularities related to social phenomena. This interest is clearly motivated by applications that a statistical mechanical description of the human behavior may have in our…

Physics and Society · Physics 2011-10-28 M. C. Mantovani , H. V. Ribeiro , M. V. Moro , S. Picoli , R. S. Mendes

In a convenience store chain, a tail of the cumulative density function of the expenditure of a person during a single shopping trip follows a power law with an exponent of -2.5. The exponent is independent of the location of the store, the…

Physics and Society · Physics 2009-11-13 Takayuki Mizuno

In many complex systems, large events are believed to follow power-law, scale-free probability distributions, so that the extreme, catastrophic events are unpredictable. Here, we study coupled chaotic oscillators that display extreme…

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