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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/17911

Title: An exact calculation of Price’s law for the law of Lotka
Authors: EGGHE, Leo
Issue Date: 1987
Publisher: ELSEVIER SCIENCE BV
Citation: 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.
URI: http://hdl.handle.net/1942/17911
DOI: 10.1007/BF02016632
ISI #: A1987G455800010
ISSN: 0138-9130
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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