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Power law

Not to be confused with Force (law). For other uses, see Power (disambiguation).
"Scaling law" redirects here. For statistical laws of scaling deep learning models, see Neural scaling law.
An example power-law graph that demonstrates 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 relative change in the other quantity proportional to a power of the change, 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.[1] The rate of change exhibited in these relationships is said to be multiplicative.

  1. ^ Yaneer Bar-Yam. "Concepts: Power Law". New England Complex Systems Institute. Retrieved 18 August 2015.

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