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

✍ Scribed by Chen, Ye-Sho ;Leimkuhler, Ferdinand F.

Publisher: John Wiley and Sons
Year: 1989
Tongue: English
Weight: 970 KB
Volume: 40
Category: Article
ISSN: 0002-8231
DOI: 10.1002/(sici)1097-4571(198901)40:1<45::aid-asi5>3.0.co;2-s

No coin nor oath required. For personal study only.

✦ Synopsis

There are three significant results in this paper. First, we establish a type-token identity relating the typetoken ratio and the biiogarithmic 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.

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