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A New Bibliometric Index Based on the Shape of the Citation Distribution

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  • Tommaso Lando
  • Lucio Bertoli-Barsotti

Abstract

In order to improve the h-index in terms of its accuracy and sensitivity to the form of the citation distribution, we propose the new bibliometric index . The basic idea is to define, for any author with a given number of citations, an “ideal” citation distribution which represents a benchmark in terms of number of papers and number of citations per publication, and to obtain an index which increases its value when the real citation distribution approaches its ideal form. The method is very general because the ideal distribution can be defined differently according to the main objective of the index. In this paper we propose to define it by a “squared-form” distribution: this is consistent with many popular bibliometric indices, which reach their maximum value when the distribution is basically a “square”. This approach generally rewards the more regular and reliable researchers, and it seems to be especially suitable for dealing with common situations such as applications for academic positions. To show the advantages of the -index some mathematical properties are proved and an application to real data is proposed.

Suggested Citation

  • Tommaso Lando & Lucio Bertoli-Barsotti, 2014. "A New Bibliometric Index Based on the Shape of the Citation Distribution," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-15, December.
    • Handle: RePEc:plo:pone00:0115962
    DOI: 10.1371/journal.pone.0115962
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    References listed on IDEAS

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    1. Kongo, Takumi, 2014. "An alternative axiomatization of the Hirsch index," Journal of Informetrics, Elsevier, vol. 8(1), pages 252-258.
    2. Peter Vinkler, 2010. "The πv-index: a new indicator to characterize the impact of journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(3), pages 461-475, March.
    3. Gangan Prathap, 2014. "The zynergy-index and the formula for the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 65(2), pages 426-427, February.
    4. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    5. Gangan Prathap, 2010. "The 100 most prolific economists using the p-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 167-172, July.
    6. Woeginger, Gerhard J., 2008. "An axiomatic analysis of Egghe’s g-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 364-368.
    7. Lucio Bertoli-Barsotti, 2013. "Improving a decomposition of the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 64(7), pages 1522-1522, July.
    8. Chun-Ting Zhang, 2009. "The e-Index, Complementing the h-Index for Excess Citations," PLOS ONE, Public Library of Science, vol. 4(5), pages 1-4, May.
    9. Thomas R. Anderson & Robin K. S. Hankin & Peter D. Killworth, 2008. "Beyond the Durfee square: Enhancing the h-index to score total publication output," Scientometrics, Springer;Akadémiai Kiadó, vol. 76(3), pages 577-588, September.
    10. van Eck, N.J.P. & Waltman, L., 2008. "Generalizing the h- and g-indices," ERIM Report Series Research in Management ERS-2008-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
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    Cited by:

    1. Lucio Bertoli-Barsotti, 2016. "Normalizing the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 106(2), pages 645-655, February.
    2. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2015. "On a formula for the h-index," Journal of Informetrics, Elsevier, vol. 9(4), pages 762-776.

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