Title
Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems
Author
Faculty/Department
Faculty of Social Sciences. Instructional and Educational Sciences
Publication type
article
Publication
Amsterdam ,
Subject
Documentation and information
Source (journal)
Journal of informetrics. - Amsterdam
Volume/pages
5(2011) :3 , p. 439-445
ISSN
1751-1577
ISI
000291032500012
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We define the generalized Wu- and Kosmulski-indices, allowing for general parameters of multiplication or exponentiation. We then present formulae for these generalized indices in a Lotkaian framework. Next we characterise these indices in terms of their dependence on the quotient of the average number of items per source in the m-core divided by the overall average (m is any generalized Wu- or Kosmulski-index). As a consequence of these results we show that the fraction of used items (used in the definition of m) in the m-core is independent of the parameter and equals one divided by the overall average.
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