A Mathematical Model Of The Vocabulary-Text Relation
نویسنده
چکیده
A new method for calculating vocabulary size as a function of text length is discussed. The vocabulary growth is treated as a probabilistic process governed by the principle of "the restriction of variety" of lexics. Proceeding from the basic model of the vocabulary-text relation a formula with good descriptive power is constructed. The statistical fit and the possibilities of extrapolation beyond the limits of observable data are illustrated on the material of several languages belonging to different typological groups. by deducing the relation between V and N from some other important quantitative characteristics of text such as Zipf's law and Yule's distribution (Kalinin, Orlov) 3. The author underlines the importance of these conceptions for the theory of quantitative linguistics on the whole, but points out their insufficiency in solving some practical linguo-statistical problems where greater exactness and reliability are needed (style-statistical analysis, text attribution, extrapolation beyond the limits of observable data, etc.).
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