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Characteristic scores and scales based on h-type indices
Authors:L Egghe
Institution:1. Far Eastern Federal University, School of Business and Public Administration, 8 Sukhanova St., Vladivostok 690091, Russia;2. Amsterdam School of Communication Research (ASCoR), University of Amsterdam, P.O. Box 15793, 1001 NG Amsterdam, The Netherlands;1. Department of Industrial Engineering, University of Bologna, Bologna, Italy;2. G.D SpA, Manufacturer Company of Bologna, Bologna, Italy;1. Department of Communications and Networking, Aalto University, P.O. Box 13000, 00076 Aalto, Finland;2. Verto Analytics, Espoo, Finland;3. Department of Marketing and International Business, Turku School of Economics, 20014 University of Turku, Finland
Abstract:Based on the rank-order citation distribution of e.g. a researcher, one can define certain points on this distribution, hereby summarizing the citation performance of this researcher. Previous work of Glänzel and Schubert defined these so-called “characteristic scores and scales” (CSS), based on average citation data of samples of this ranked publication–citation list.In this paper we will define another version of CSS, based on diverse h-type indices such as the h-index, the g-index, the Kosmulski's h(2)-index and the g-variant of it, the g(2)-index.Mathematical properties of these new CSS are proved in a Lotkaian framework. These CSS also provide an improvement of the single h-type indices in the sense that they give h-type index values for different parts of the ranked publication–citation list.
Keywords:
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