TOP-curves: Research Articles

Authors:
Leo Egghe;Ronald Rousseau;Sandra Rousseau
Affiliations:
Hasselt University, Agoralaan, B-3590 Diepenbeek, Belgium and Antwerp University, IBW, Universiteitsplein 1, B-2610 Wilrijk, Belgium;KHBO (Association K.U. Leuven), Industrial Sciences and Technology, Zeedijk 101, B-8400 Oostende, Belgium and Hasselt University, Agoralaan, B-3590 Diepenbeek, Belgium and Antwerp University, IBW, ...;K.U. Leuven, Centre for Economic Studies, Naamsestraat 69, B-3000 Leuven, Belgium
Venue:
Journal of the American Society for Information Science and Technology
Year:
2007

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Abstract

Several characteristics of classical Lorenz curves make them unsuitable for the study of a group of top-performers. TOP-curves, defined as a kind of mirror image of TIP-curves used in poverty studies, are shown to possess the properties necessary for adequate empirical ranking of various data arrays, based on the properties of the highest performers (i.e., the core). TOP-curves and essential TOP-curves, also introduced in this article, simultaneously represent the incidence, intensity, and inequality among the top. It is shown that TOP-dominance partial order, introduced in this article, is stronger than Lorenz dominance order. In this way, this article contributes to the study of cores, a central issue in applied informetrics. © 2007 Wiley Periodicals, Inc.