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Proceedings 1st International Conference on Bibliometrics and Theorectical Aspects of Information Retrieval - 1989 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/852

Title: The cumulative advantage function. A mathematical formulation based on conditional expectations and its application to scientometric distributions
Authors: Glänzel, Wolfgang
Schubert, Andras
Issue Date: 1990
Publisher: Elsevier
Citation: Egghe, L. & Rousseau, R. (Ed.) Informetrics 89/90, Belgium : Diepenbeek, p. 139-147
Abstract: Cumulative advantage principle is a specific law underlying several social, particularly , bibliometric and scientometric processes. This phenomenon was described by single- and multiple-urn models (Price (1976). Tague (1981)). A theoretical model for cumulative advantage growth was developed by Schubert and Glaenzel (1984). This paper presents an exact measure of the cumulative advantage effect based on conditional expectations. For a given bibliometric random variable X (e.g. publication activity , citation rate) the cumulative advantage function i s defined as d k ) = E(iK-k)[(X-k) b O)/E(X). The 'extent of advantage' is studied on the basis of limit properties of this function. The behavior of ~ ( k ) is discussed for the urn-model distributions, particularly for its most prominent representants, the negative-binomial and the Waring distribution. The discussion is illustrated by several examples from bibliometric distributions.
URI: http://hdl.handle.net/1942/852
ISSN: 0-444-88460-2
Type: Proceedings Paper
Appears in Collections: Proceedings 1st International Conference on Bibliometrics and Theorectical Aspects of Information Retrieval - 1989

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