Zipf’s law—another view

In many scientific disciplines phenomena are observed which are usually described using one of the various versions of the so-called Zipf’s Law. As no single formula could be found so far which would be able to sufficiently fit to all data more and more variants (modifications, ad-hoc formulas, deri...

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Veröffentlicht in:Quality & quantity 2010-06, Vol.44 (4), p.713-731
Hauptverfasser: Popescu, Ioan-Iovitz, Altmann, Gabriel, Köhler, Reinhard
Format: Artikel
Sprache:eng
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Zusammenfassung:In many scientific disciplines phenomena are observed which are usually described using one of the various versions of the so-called Zipf’s Law. As no single formula could be found so far which would be able to sufficiently fit to all data more and more variants (modifications, ad-hoc formulas, derivations etc.) are created, each of which agrees quite well with some given data sets but fail with others. The present paper proposes a new approach to the problem, based on the assumption that every data set which displays a Zipf-like structure is composed of several system components. A corresponding model is presented and tested on data from 100 texts from 20 languages.
ISSN:0033-5177
1573-7845
DOI:10.1007/s11135-009-9234-y