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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/12898

Title: Theory and practice of the shifted Lotka function
Authors: Egghe, Leo
Rousseau, Ronald
Issue Date: 2012
Citation: SCIENTOMETRICS, 91(1). p. 295-301.
Abstract: One of the major drawbacks of the classical Lotka function is that arguments only start from the value 1. However, in many applications one may want to start from the value 0, e.g. when including zero received citations. In this article we consider the shifted Lotka function, which includes the case of zero items. Basic results for the total number of sources, the total number of items and the average number of items per source are given in this framework. Next we give the rank-frequency function (Zipf-type function) corresponding to the shifted Lotka function and prove their exact relation. The article ends with a practical example which can be fitted by a shifted Lotka function.
URI: http://hdl.handle.net/1942/12898
Link to publication: http://www.springerlink.com/content/w177p3313j251q71/
DOI: 10.1007/s11192-011-0539-y
ISI #: 000301188500021
ISSN: 0138-9130
Category: A1
Type: Journal Contribution
Validation: ecoom, 2013
Appears in Collections: Research publications

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