IDEAS home Printed from https://ideas.repec.org/a/spr/scient/v77y2008i3d10.1007_s11192-007-1968-5.html
   My bibliography  Save this article

Modelling successive h-indices

Author

Listed:
  • Leo Egghe

    (Universiteit Hasselt (UHasselt)
    Universiteit Antwerpen (UA)
    Universiteit Hasselt (UHasselt))

Abstract

From a list of papers of an author, ranked in decreasing order of the number of citations to these papers one can calculate this author’s Hirsch index (or h-index). If this is done for a group of authors (e.g. from the same institute) then we can again list these authors in decreasing order of their h-indices and from this, one can calculate the h-index of (part of) this institute. One can go even further by listing institutes in a country in decreasing order of their h-indices and calculate again the h-index as described above. Such h-indices are called by Schubert [2007] “successive” h-indices. In this paper we present a model for such successive h-indices based on our existing theory on the distribution of the h-index in Lotkaian informetrics. We show that, each step, involves the multiplication of the exponent of the previous h-index by 1/α where α > 1 is a Lotka exponent. We explain why, in general, successive h-indices are decreasing. We also introduce a global h-index for which tables of individuals (authors, institutes,...) are merged. We calculate successive and global h-indices for the (still active) D. De Solla Price awardees.

Suggested Citation

  • Leo Egghe, 2008. "Modelling successive h-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(3), pages 377-387, December.
  • Handle: RePEc:spr:scient:v:77:y:2008:i:3:d:10.1007_s11192-007-1968-5
    DOI: 10.1007/s11192-007-1968-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11192-007-1968-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11192-007-1968-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    2. András Schubert, 2007. "Successive h-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 70(1), pages 201-205, January.
    3. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Leo Egghe, 2009. "Performance and its relation with productivity in Lotkaian systems," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 567-585, November.
    2. John Panaretos & Chrisovaladis Malesios, 2009. "Assessing scientific research performance and impact with single indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 635-670, December.
    3. Hyeonchae Yang & Woo-Sung Jung, 2015. "A strategic management approach for Korean public research institutes based on bibliometric investigation," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(4), pages 1437-1464, July.
    4. Jerome K. Vanclay & Lutz Bornmann, 2012. "Metrics to evaluate research performance in academic institutions: a critique of ERA 2010 as applied in forestry and the indirect H2 index as a possible alternative," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(3), pages 751-771, June.
    5. Leo Egghe & Ronald Rousseau, 2021. "The h-index formalism," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 6137-6145, July.
    6. Yang, Alex Jie & Wu, Linwei & Zhang, Qi & Wang, Hao & Deng, Sanhong, 2023. "The k-step h-index in citation networks at the paper, author, and institution levels," Journal of Informetrics, Elsevier, vol. 17(4).
    7. Zhang, Lin & Thijs, Bart & Glänzel, Wolfgang, 2011. "The diffusion of H-related literature," Journal of Informetrics, Elsevier, vol. 5(4), pages 583-593.
    8. Alonso, S. & Cabrerizo, F.J. & Herrera-Viedma, E. & Herrera, F., 2009. "h-Index: A review focused in its variants, computation and standardization for different scientific fields," Journal of Informetrics, Elsevier, vol. 3(4), pages 273-289.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yuxian Liu & Ronald Rousseau, 2009. "Properties of Hirsch-type indices: the case of library classification categories," Scientometrics, Springer;Akadémiai Kiadó, vol. 79(2), pages 235-248, May.
    2. Leo Egghe, 2009. "Performance and its relation with productivity in Lotkaian systems," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 567-585, November.
    3. John Panaretos & Chrisovaladis Malesios, 2009. "Assessing scientific research performance and impact with single indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 635-670, December.
    4. Lathabai, Hiran H., 2020. "ψ-index: A new overall productivity index for actors of science and technology," Journal of Informetrics, Elsevier, vol. 14(4).
    5. Rey-Martí, Andrea & Ribeiro-Soriano, Domingo & Palacios-Marqués, Daniel, 2016. "A bibliometric analysis of social entrepreneurship," Journal of Business Research, Elsevier, vol. 69(5), pages 1651-1655.
    6. Bornmann, Lutz & Marx, Werner, 2012. "HistCite analysis of papers constituting the h index research front," Journal of Informetrics, Elsevier, vol. 6(2), pages 285-288.
    7. Martin Macháček & Eva Kolcunová, 2008. "Hirschovo číslo a žebříčky českých ekonomů [Hirsch index and rankings of czech economists]," Politická ekonomie, Prague University of Economics and Business, vol. 2008(2), pages 229-241.
    8. Bar-Ilan, Judit, 2008. "Informetrics at the beginning of the 21st century—A review," Journal of Informetrics, Elsevier, vol. 2(1), pages 1-52.
    9. Antonis Sidiropoulos & Dimitrios Katsaros & Yannis Manolopoulos, 2007. "Generalized Hirsch h-index for disclosing latent facts in citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(2), pages 253-280, August.
    10. Giovanni Anania & Annarosa Caruso, 2013. "Two simple new bibliometric indexes to better evaluate research in disciplines where publications typically receive less citations," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(2), pages 617-631, August.
    11. J. W. Fedderke, 2013. "The objectivity of national research foundation peer review in South Africa assessed against bibliometric indexes," Scientometrics, Springer;Akadémiai Kiadó, vol. 97(2), pages 177-206, November.
    12. Wei, Shelia X. & Tong, Tong & Rousseau, Ronald & Wang, Wanru & Ye, Fred Y., 2022. "Relations among the h-, g-, ψ-, and p-index and offset-ability," Journal of Informetrics, Elsevier, vol. 16(4).
    13. Stelios Katranidis & Theodore Panagiotidis & Costas Zontanos, 2014. "An Evaluation Of The Greek Universities’ Economics Departments," Bulletin of Economic Research, Wiley Blackwell, vol. 66(2), pages 173-182, April.
    14. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    15. Junping Qiu & Ruimin Ma & Ni Cheng, 2008. "New exploratory work of evaluating a researcher’s output," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(2), pages 335-344, November.
    16. Ana Paula dos Santos Rubem & Ariane Lima Moura & João Carlos Correia Baptista Soares de Mello, 2015. "Comparative analysis of some individual bibliometric indices when applied to groups of researchers," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(1), pages 1019-1035, January.
    17. 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.
    18. Leo Egghe & Ronald Rousseau, 2021. "The h-index formalism," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 6137-6145, July.
    19. Egghe, L., 2008. "Examples of simple transformations of the h-index: Qualitative and quantitative conclusions and consequences for other indices," Journal of Informetrics, Elsevier, vol. 2(2), pages 136-148.
    20. Baccini, A. & Barabesi, L. & Marcheselli, M. & Pratelli, L., 2012. "Statistical inference on the h-index with an application to top-scientist performance," Journal of Informetrics, Elsevier, vol. 6(4), pages 721-728.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    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:77:y:2008:i:3:d:10.1007_s11192-007-1968-5. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    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 (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.