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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/1942/830

Title: Theoretical and empirical studies of the tails of scientometric distributions
Authors: Glänzel, W.
Schubert, A.
Issue Date: 1988
Publisher: Elsevier
Citation: Egghe, L. & Rousseau, R. (Ed.) Informetrics 87/88, Belgium : Diepenbeek, pag 75-83
Abstract: The distributions of non-negative random variables occurring in scientometrics are said to have a proper tail if they asymptotically obey "Zipf's Law", i.e., if lim (I-F(k)) k a = const k- " for some real a > 0 where F denotes the cumulative distribution. The tail of scientometric distributions has a particular significance because it generally contains the most "prominent" elements of the population (e.g. highest cited papers or most productive authors). In addition, the tail parameter, a , is a sensitive indicator of several fundamental features of the whole distribution. It is shown that, among others, the tail parameter governs order and rank statistics. New estimation methods of a as well as statistical tests f w extreme values and ranked tail elements are developed. The methods are illustrated on empirical samples of citation rates and publication activity.
URI: http://hdl.handle.net/1942/830
ISSN: 0-444-70425-6
Type: Proceedings Paper
Appears in Collections: Proceedings 1st International Conference on Bibliometrics and Theorectical Aspects of Information Retrieval - 1989

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