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A novel bibliometric index with a simple geometric interpretation

  • Speaker: Professor Mark Levene, Department of Computer Science and Information Systems, Birkbeck, University of London
  • Date: Tuesday, 2 October 2018 from 17:00 to 18:00
  • Location: Room 151
We propose the χ-index as a bibliometric indicator that generalises the h-index. 
While the h-index is determined by the maximum square that fits under the citation 
curve of an author when plotting the number of citations in decreasing order,  
the χ-index is determined by the maximum area rectangle that fits under the curve. 
The height of the maximum rectangle is the number of citations c_k to the kth 
most-cited publication, where k is the width of the rectangle. We present a 
comprehensive empirical comparison between the χ-index and other bibliometric indices, 
focusing on a comparison with the h-index, analysing two datasets - a large set of 
Google Scholar profiles and a small set of Nobel prize winners. In particular, 
restricting the citations profiles to the cases when c_k > k or c_k < k corresponds 
to, respectively, classifying researchers as either tending to influential, i.e. 
having many more than h citations, or tending to prolific, i.e. having many more than 
h publications.
Joint work with Trevor Fenner, Martyn Harris and Judit Bar-Ilan