Author:
L. Egghe
L. Egghe
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Abstract
Price's law asserts — in its simpliest version — that
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\usepackage{portland,xspace}
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$$\sqrt N$$
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authors produce half of the papers made by the total ofN authors. More generally: the topN
(0<<1) authors produce a fraction 
(0<<1) of the papers made by the total ofN authors and the Price's law says that 
. In this paper — using Lotka's law — we prove a mathematical relationship of in function of and the parameter 
(the mean number of papers per author) and investigate when . 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).
(0<<1) authors produce a fraction (0<<1) of the papers made by the total ofN authors and the Price's law says that . In this paper — using Lotka's law — we prove a mathematical relationship of in function of and the parameter (the mean number of papers per author) and investigate when . 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).To see the editorial board, please visit the website of Springer Nature.
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| Scientometrics | |
|---|---|
| Language | English |
| Size | B5 |
| Year of Foundation |
1978 |
| Volumes per Year |
1 |
| Issues per Year |
12 |
| Founder | Akadémiai Kiadó |
| Founder's Address |
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. |
| Publisher | Akadémiai Kiadó Springer Nature Switzerland AG |
| Publisher's Address |
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11. |
| Responsible Publisher |
Chief Executive Officer, Akadémiai Kiadó |
| ISSN | 0138-9130 (Print) |
| ISSN | 1588-2861 (Online) |
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