## ::Power law

### ::concepts

Power::alpha    Function::journal    Which::exponent    First::pareto    Title::power    Scaling::where

{{#invoke:Hatnote|hatnote}} {{#invoke:Hatnote|hatnote}} An example power-law graph, being used to demonstrate ranking of popularity. To the right is the long tail, and to the left are the few that dominate (also known as the 80–20 rule).

In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another. For instance, considering the area of a square in terms of the length of its side, if the length is doubled, the area is multiplied by a factor of four.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

Power law sections
Intro  Empirical examples of power laws  Properties of power laws  Power-law functions  Power-law probability distributions  Validating power laws  See also  References  External links

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