Title
Characteristic scores and scales in a Lotkaian frameworkCharacteristic scores and scales in a Lotkaian framework
Author
Faculty/Department
Faculty of Social Sciences. Instructional and Educational Sciences
Research group
Book, Library and Information
Publication type
article
Publication
Amsterdam,
Subject
Documentation and information
Source (journal)
Scientometrics: an international journal for all quantitative aspects of the science of science and science policy. - Amsterdam
Volume/pages
83(2010):2, p. 455-462
ISSN
0138-9130
ISI
000276499500009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
The characteristic scores and scales (CSS), introduced by Glänzel and Schubert (J Inform Sci 14:123127, 1988) and further studied in subsequent papers of Glänzel, can be calculated exactly in a Lotkaian framework. We prove that these CSS are simple exponents of the average number of items per source in general IPPs. The proofs are given using size-frequency functions as well as using rank-frequency functions. We note that CSS do not necessarily have to be defined as averages but that medians can be used as well. Also for these CSS we present exact formulae in the Lotkaian framework and both types of CSS are compared. We also link these formulae with the h-index.
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