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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Abstract
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.
Metadata
| 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 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/27726 |
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