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A type‐token identity in the Simon‐Yule model of text

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  • Ye‐Sho Chen
  • Ferdinand F. Leimkuhler

Abstract

There are three significant results in this paper. First, we establish a type‐token identity relating the type‐token ratio and the bilogarithmic type‐token ratio. The plays of Shakespeare and other interesting texts serve as demonstrative examples. Second, the Simon‐Yule model of Zipf's law is used to derive the type‐token identity and provide a promising statistical model of text generation. Third, a realistic refinement of the Simon‐Yule model is made to allow for a decreasing entry rate of new words. Simulation methods are used to show that the type‐token identity is preserved with this change in assumptions. © 1989 John Wiley & Sons, Inc.

Suggested Citation

  • Ye‐Sho Chen & Ferdinand F. Leimkuhler, 1989. "A type‐token identity in the Simon‐Yule model of text," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 40(1), pages 45-53, January.
    • Handle: RePEc:bla:jamest:v:40:y:1989:i:1:p:45-53
    DOI: 10.1002/(SICI)1097-4571(198901)40:13.0.CO;2-S
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