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Mathematical aspects of a new criterion for ranking scientific institutions based on the h-index

Author

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  • Alain Molinari

    (Université Paul Verlaine)

  • Jean-Francois Molinari

    () (Université Paris 6)

Abstract

We develop and discuss the theoretical basis of a new criterion for ranking scientific institutions. Our novel index, which is related to the h-index, provides a metric which removes the size dependence. We discuss its mathematical properties such as merging rules of two sets of papers and analyze the relations between the underlying rank/citation-frequency law and the h-index. The proposed index should be seen as a complement to the h-index, to compare the scientific production of institutions (universities, laboratories or journals) that could be of disparate sizes.

Suggested Citation

  • Alain Molinari & Jean-Francois Molinari, 2008. "Mathematical aspects of a new criterion for ranking scientific institutions based on the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 75(2), pages 339-356, May.
  • Handle: RePEc:spr:scient:v:75:y:2008:i:2:d:10.1007_s11192-007-1872-z
    DOI: 10.1007/s11192-007-1872-z
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    References listed on IDEAS

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    1. Gad Saad, 2006. "Exploring the h-index at the author and journal levels using bibliometric data of productive consumer scholars and business-related journals respectively," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 117-120, October.
    2. Jean-Francois Molinari & Alain Molinari, 2008. "A new methodology for ranking scientific institutions," Scientometrics, Springer;Akadémiai Kiadó, vol. 75(1), pages 163-174, April.
    3. Matthias Sutter & Martin G. Kochner, 2001. "Power laws of research output. Evidence for journals of economics," Scientometrics, Springer;Akadémiai Kiadó, vol. 51(2), pages 405-414, June.
    4. Tibor Braun & Wolfgang Glänzel & András Schubert, 2006. "A Hirsch-type index for journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 169-173, October.
    5. R. Bailón-Moreno & E. Jurado-Alameda & R. Ruiz-Baños & J. P. Courtial, 2005. "Bibliometric laws: Empirical flaws of fit," Scientometrics, Springer;Akadémiai Kiadó, vol. 63(2), pages 209-229, April.
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    Cited by:

    1. Jean-Francois Molinari & Alain Molinari, 2008. "A new methodology for ranking scientific institutions," Scientometrics, Springer;Akadémiai Kiadó, vol. 75(1), pages 163-174, April.
    2. Muzammil Tahira & Rose Alinda Alias & Aryati Bakri, 2013. "Scientometric assessment of engineering in Malaysians universities," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(3), pages 865-879, September.
    3. Nan Zhang & Shanshan Wan & Peiling Wang & Peng Zhang & Qiang Wu, 2018. "A bibliometric analysis of highly cited papers in the field of Economics and Business based on the Essential Science Indicators database," Scientometrics, Springer;Akadémiai Kiadó, vol. 116(2), pages 1039-1053, August.
    4. S. Alonso & F. J. Cabrerizo & E. Herrera-Viedma & F. Herrera, 2010. "hg-index: a new index to characterize the scientific output of researchers based on the h- and g-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 391-400, February.
    5. Giovanni Abramo & Ciriaco Andrea D’Angelo & Fulvio Viel, 2013. "The suitability of h and g indexes for measuring the research performance of institutions," Scientometrics, Springer;Akadémiai Kiadó, vol. 97(3), pages 555-570, December.
    6. Frank Berthold & Christoph Bartenhagen & Lothar Krempel, 2019. "Are network growth and the contributions to congresses associated with publication success? A pediatric oncology model," PLOS ONE, Public Library of Science, vol. 14(1), pages 1-19, January.
    7. Lin Zhang & Wolfgang Glänzel, 2012. "Where demographics meets scientometrics: towards a dynamic career analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(2), pages 617-630, May.

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