IDEAS home Printed from
   My bibliography  Save this article

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


  • Alain Molinari

    (Université Paul Verlaine)

  • Jean-Francois Molinari

    () (Université Paris 6)


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

    Download full text from publisher

    File URL:
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    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.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    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.

    More about this item


    Access and download statistics


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:scient:v:75:y:2008:i:2:d:10.1007_s11192-007-1872-z. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Springer Nature Abstracting and Indexing). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.