Characteristic scores and scales based on h-type indices

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.