Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems

Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/12022

Title:	Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems
Authors:	EGGHE, Leo
Issue Date:	2011
Publisher:	ELSEVIER SCIENCE BV
Source:	JOURNAL OF INFORMETRICS, 5 (3). p. 439-445
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. (C) 2011 Elsevier Ltd. All rights reserved.
Notes:	[Egghe, L.] Univ Hasselt UHasselt, B-3590 Diepenbeek, Belgium. [Egghe, L.] Univ Antwerpen UA, B-2000 Antwerp, Belgium. leo.egghe@uhasselt.be
Keywords:	Generalized Wu-index; Generalized Kosmulski-index; Characterization;Generalized Wu-index; Generalized Kosmulski-index; Characterization
Document URI:	http://hdl.handle.net/1942/12022
ISSN:	1751-1577
e-ISSN:	1875-5879
DOI:	10.1016/j.joi.2011.03.006
ISI #:	000291032500012
Category:	A1
Type:	Journal Contribution
Validations:	ecoom 2012
Appears in Collections:	Research publications

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