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Title: | An exact calculation of Price’s law for the law of Lotka | Authors: | EGGHE, Leo | Issue Date: | 1987 | Publisher: | ELSEVIER SCIENCE BV | Source: | SCIENTOMETRICS, 11 (1-2), p. 81-97 | Abstract: | Price's law asserts — in its simpliest version — that TeX authors produce half of the papers made by the total ofN authors. More generally: the topN α(0<α<1) authors produce a fraction θ (0<θ<1) of the papers made by the total ofN authors and the Price's law says that θ≈α. In this paper — using Lotka's law — we prove a mathematical relationship of θ in function of α and the parameter μ (the mean number of papers per author) and investigate when θ≈α. More-over our reasoning uses the theory of the 80/20 rule as developed in: L. EGGHE, On the 80/20-rule,Scientometrics, 10 (1986) 55–68, thereby also showing the relation betwwen the 80/20-rules (being an arithmetical form of measuring elitarism) and Price's law (being a geometric form of measuring elitarism). | Notes: | UNIV INSTELLING ANTWERP,B-2610 WILRIJK,BELGIUM. | Document URI: | http://hdl.handle.net/1942/17911 | ISSN: | 0138-9130 | e-ISSN: | 1588-2861 | DOI: | 10.1007/BF02016632 | ISI #: | A1987G455800010 | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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