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Power-Law Distributions

  • Nino Boccara
Chapter
Part of the Graduate Texts in Physics book series (GTP)

Abstract

The essential points of this chapter are The Pareto law The log-normal distribution The two regimes of income distribution and how it is explained The Zipf’s law of word frequency The behavior of stock prices as a function of time according to Louis Bachelier and Benoît Mandelbrot The definition of econophysics The universal behavior of rank as a function size for cities The distribution of family names (in Japan) The distribution of votes (in São Paulo) The explanation of the power-law behavior The log-normal behavior The definition of self-organized criticality The sandpile model and the avalanches

Keywords

Probability Density Function Central Limit Theorem GARCH Model Exponential Random Variable Arch Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Dept. PhysicsUniversity of Illinois, ChicagoChicagoUSA

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