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powerlaw 1.2

Toolbox for testing if a probability distribution fits a power law

Package Documentation

Latest Version: 1.4.3

powerlaw is a toolbox using the statistical methods developed in Clauset et al. 2007 and Klaus et al. 2011 to determine if a probability distribution fits a power law. Academics, please cite as:

Jeff Alstott, Ed Bullmore, Dietmar Plenz. (2014). powerlaw: a Python package for analysis of heavy-tailed distributions. PLoS ONE 9(1): e85777

Also available at arXiv:1305.0215 []

Basic Usage

For the simplest, typical use cases, this tells you everything you need to know.:

import powerlaw
data = array([1.7, 3.2 ...]) #data can be list or Numpy array
results = powerlaw.Fit(data)
print results.power_law.alpha
print results.power_law.xmin
R, p = results.distribution_compare('power_law', 'lognormal')

For more explanation, understanding, and figures, see the working paper, which illustrates all of powerlaw’s features. For details of the math, see Clauset et al. 2007, which developed these methods.


Many thanks to Andreas Klaus, Mika Rubinov and Shan Yu for helpful discussions. Thanks also to Andreas Klaus, Aaron Clauset, Cosma Shalizi, and Adam Ginsburg for making their code available. Their implementations were a critical starting point for making powerlaw.

File Type Py Version Uploaded on Size
powerlaw-1.2.linux-x86_64.exe (md5) MS Windows installer any 2014-01-31 83KB
powerlaw-1.2.tar.gz (md5) Source 2014-01-31 21KB