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Authoritative: http://dx.doi.org/10.1076/jqul.8.3.165.4101   (Publisher's PDF... likely be available here.)

Source: http://www.santafe.edu/sfi/publications/wpabstract/200012068

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Abstract

Zipf's law states that the frequency of a word is a power function of its rank. The exponent of the power is usually accepted to be close to (-)1. Great deviations between the predicted and real number of different words of a text, disagreements between the predicted and real exponent of the probability density function and statistics on a big corpus, make evident that word frequency as a function of the rank follows two different exponents, \approx (-)1 for the first regime and \approx (-)2 for the second. The implications of the change in exponents for the metrics of texts and for the origins of complex lexicons are analyzed.

Keywords: Zipf's law, origin of language, scaling

@article{ferrer01twoRegimes,
  author={Ramon {Ferrer-i-Cancho} and Ricard V. Sole},
  title={Two regimes in the frequency of words and the origins of complex lexicons: Zipf's law revisited},
  journal={Journal of Quantitative Linguistics},
  year={2001},
  volume={8},
  number={3},
  pages={165-173},
  doi={10.1076/jqul.8.3.165.4101},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/ferrer01twoRegimes.html},
  keywords={Zipf's law, origin of language, scaling}
}

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