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    Characterisation of the x-index and the rec-index

    Levene, Mark and Fenner, Trevor and Bar-Ilan, J. (2019) Characterisation of the x-index and the rec-index. Scientometrics 120 (2), pp. 885-896. ISSN 0138-9130.

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    Axiomatic characterisation of a bibliometric index provides insight into the properties that the index satisfies and facilitates the comparison of different indices. A geometric generalisation of the h-index, called the x-index, has recently been proposed to address some of the problems with the h-index, in particular, the fact that it is not scale invariant, i.e., multiplying the number of citations of each publication by a positive constant may change the relative ranking of two researchers. While the square of the h-index is the area of the largest square under the citation curve of a researcher, the square of the x-index, which we call the rec-index (or rectangle-index), is the area of the largest rectangle under the citation curve. Our main contribution here is to provide a characterisation of the rec-index via three properties: monotonicity, uniform citation and uniform equivalence. Monotonicity is a natural property that we would expect any bibliometric index to satisfy, while the other two properties constrain the value of the rec-index to be the area of the largest rectangle under the citation curve. The rec-index also allows us to distinguish between in uential researchers who have relatively few, but highly-cited, publications and prolific researchers who have many, but less-cited, publications.


    Item Type: Article
    Additional Information: The final publication is available at Springer via the link above.
    Keyword(s) / Subject(s): h-index, x-index, rec-index, bibliometric index, core publications, quantity versus quality, axiomatic characterisation
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Research Centres and Institutes: Data Analytics, Birkbeck Institute for
    Depositing User: Administrator
    Date Deposited: 05 Jun 2019 08:45
    Last Modified: 09 Aug 2023 12:46


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