papers of interest to Sig Metrics listserv

[Eugene Garfield]

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Title:
Study of the rank- and size-frequency functions in the case of power law growth of sources and items and proof of Heaps' law

Authors:
Egghe, L

Author Full Names:
Egghe, L.

Source:
INFORMATION PROCESSING & MANAGEMENT, 49 (1):99-107; 10.1016/j.ipm.2012.02.004 JAN 2013 

Language:
English

Document Type:
Article

Author Keywords:
Power law growth, Rank-frequency function, Size-frequency function, Heaps' law

Abstract:
Supposing that the number of sources and the number of items in sources grow in time according to power laws, we present explicit formulae for the size- and rank-frequency functions in such systems. Size-frequency functions can decrease or increase while rank-frequency functions only decrease. The latter can be convex, concave, S-shaped (first convex, then concave) or reverse S-shaped (first concave, then convex). We also prove that, in such systems, Heaps' law on the relation between the number of sources and items is valid. (C) 2012 Elsevier Ltd. All rights reserved.
Reprint Address:
Univ Hasselt, Campus Diepenbeek,Agoralaan, B-3590 Diepenbeek, Belgium. 
      
Addresses:
Univ Hasselt, B-3590 Diepenbeek, Belgium. 

E-mail Address:
leo.egghe at uhasselt.be

Cited Reference Count:
17

Times Cited:
0

Publisher:
ELSEVIER SCI LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND

ISSN:
0306-4573

Web of Science Categories:
Computer Science, Information Systems; Information Science & Library Science

Research Areas:
Computer Science; Information Science & Library Science

IDS Number:
069WA

Unique ID: 
WOS:000313466600007

Cited References: 
Egghe Leo, 2006, SCIENTOMETRICS, V69, P121
Egghe L., 2011, INFORMATION PROCESSING & MANAGEMENT, V47, P238
Mansilla R., 2007, JOURNAL OF INFORMETRICS, V1, P155
Lavalette D., 1996, Report INSERM U350, 
Egghe Leo, 2007, JOURNAL OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE AND TECHNOLOGY, V58, P702
Miguel Campanario Juan, 2010, SCIENTOMETRICS, V84, P35
Egghe L., 2009, JOURNAL OF INFORMETRICS, V3, P290
Egghe Leo, 2010, JOURNAL OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE AND TECHNOLOGY, V61, P2581
Egghe L, 2005, JOURNAL OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE AND TECHNOLOGY, V56, P669
Egghe L, 2005, POWER LAWS IN THE INFORMATION PRODUCTION PROCESS: LOTKAIAN INFORMETRICS, P1
NARANAN S, 1970, NATURE, V227, P631
Herdan G., 1964, Quantitative linguistics, 
Martinez-Mekler Gustavo, 2009, PLOS ONE, V4, 
EGGHE L, 1992, SCIENTOMETRICS, V25, P5
Herdan G., 1960, Type-token mathematics. A textbook of mathematical Linguistics, 
Heaps H. S., 1978, Information retrieval, computational and theoretical Aspects, 
Price D. J. S., 1963, Little science, big science,