Empirical tests of Zipf's law mechanism in open source Linux distribution

Empirical tests of Zipf's law mechanism in open source Linux distribution

Zipf's power law is a ubiquitous empirical regularity found in many systems, thought to result from proportional growth. Here, we establish empirically the usually assumed ingredients of stochastic growth models that have been previously conjectured to be at the origin of Zipf's law. We us...

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Veröffentlicht in:Physical review letters 2008-11, Vol.101 (21), p.218701-218701, Article 218701
Hauptverfasser: Maillart, T, Sornette, D, Spaeth, S, von Krogh, G
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Models, Statistical
Models, Theoretical
Software
Stochastic Processes
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container_title Physical review letters
container_volume 101
creator Maillart, T
Sornette, D
Spaeth, S
von Krogh, G
description Zipf's power law is a ubiquitous empirical regularity found in many systems, thought to result from proportional growth. Here, we establish empirically the usually assumed ingredients of stochastic growth models that have been previously conjectured to be at the origin of Zipf's law. We use exceptionally detailed data on the evolution of open source software projects in Linux distributions, which offer a remarkable example of a growing complex self-organizing adaptive system, exhibiting Zipf's law over four full decades.
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subjects Models, Statistical
Models, Theoretical
Software
Stochastic Processes
title Empirical tests of Zipf's law mechanism in open source Linux distribution
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