IDEAS home Printed from https://ideas.repec.org/a/eee/infome/v4y2010i4p647-651.html
   My bibliography  Save this article

A new family of old Hirsch index variants

Author

Listed:
  • Schreiber, Michael

Abstract

The Hirsch index h and the g index proposed by Egghe as well as the f index and the t index proposed by Tol are shown to be special cases of a family of Hirsch index variants, based on the generalized mean with exponent p. Inequalities between the different indices are derived from the generalized mean inequality. The graphical determination of the indices is shown for one example.

Suggested Citation

  • Schreiber, Michael, 2010. "A new family of old Hirsch index variants," Journal of Informetrics, Elsevier, vol. 4(4), pages 647-651.
    • Handle: RePEc:eee:infome:v:4:y:2010:i:4:p:647-651
    DOI: 10.1016/j.joi.2010.05.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1751157710000404
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.joi.2010.05.002?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. Richard S. J. Tol, 2009. "The h-index and its alternatives: An application to the 100 most prolific economists," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 317-324, August.
    2. Michael Schreiber, 2008. "An empirical investigation of the g‐index for 26 physicists in comparison with the h‐index, the A‐index, and the R‐index," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(9), pages 1513-1522, July.
    3. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    4. Michael Schreiber, 2010. "Revisiting the g-index: The average number of citations in the g-core," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(1), pages 169-174, January.
    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. Antonio Abatemarco & Roberto Dell’Anno, 2013. "Certainty equivalent citation: generalized classes of citation indexes," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(1), pages 263-271, January.
    2. Ficcadenti, Valerio & Cerqueti, Roy & Ausloos, Marcel & Dhesi, Gurjeet, 2020. "Words ranking and Hirsch index for identifying the core of the hapaxes in political texts," Journal of Informetrics, Elsevier, vol. 14(3).
    3. Pablo Dorta-González & María-Isabel Dorta-González, 2011. "Central indexes to the citation distribution: a complement to the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(3), pages 729-745, September.
    4. Dašić Predrag, 2015. "State and Analysis of Scientific Journals in the Field of “Economic Sciences” for the Period 1995-2014," Economic Themes, Sciendo, vol. 53(4), pages 547-581, December.

    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. Lathabai, Hiran H., 2020. "ψ-index: A new overall productivity index for actors of science and technology," Journal of Informetrics, Elsevier, vol. 14(4).
    2. Bornmann, Lutz & Mutz, Rüdiger & Hug, Sven E. & Daniel, Hans-Dieter, 2011. "A multilevel meta-analysis of studies reporting correlations between the h index and 37 different h index variants," Journal of Informetrics, Elsevier, vol. 5(3), pages 346-359.
    3. 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.
    4. Schreiber, M. & Malesios, C.C. & Psarakis, S., 2012. "Exploratory factor analysis for the Hirsch index, 17 h-type variants, and some traditional bibliometric indicators," Journal of Informetrics, Elsevier, vol. 6(3), pages 347-358.
    5. Schreiber, Michael, 2010. "A case study of the modified g index: Counting multi-author publications fractionally," Journal of Informetrics, Elsevier, vol. 4(4), pages 636-643.
    6. Jingda Ding & Chao Liu & Goodluck Asobenie Kandonga, 2020. "Exploring the limitations of the h-index and h-type indexes in measuring the research performance of authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 122(3), pages 1303-1322, March.
    7. Vîiu, Gabriel-Alexandru, 2016. "A theoretical evaluation of Hirsch-type bibliometric indicators confronted with extreme self-citation," Journal of Informetrics, Elsevier, vol. 10(2), pages 552-566.
    8. R. Karpagam & S. Gopalakrishnan & M. Natarajan & B. Ramesh Babu, 2011. "Mapping of nanoscience and nanotechnology research in India: a scientometric analysis, 1990–2009," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(2), pages 501-522, November.
    9. David L. Anderson & John Tressler, 2013. "The Relevance of the “h-” and “g-” Index to Economics in the Context of A Nation-Wide Research Evaluation Scheme: The New Zealand Case," Economic Papers, The Economic Society of Australia, vol. 32(1), pages 81-94, March.
    10. Parul Khurana & Kiran Sharma, 2022. "Impact of h-index on author’s rankings: an improvement to the h-index for lower-ranked authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(8), pages 4483-4498, August.
    11. Roberto Todeschini, 2011. "The j-index: a new bibliometric index and multivariate comparisons between other common indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(3), pages 621-639, June.
    12. Lorna Wildgaard & Jesper W. Schneider & Birger Larsen, 2014. "A review of the characteristics of 108 author-level bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(1), pages 125-158, October.
    13. Rizwan Ghani & Faiza Qayyum & Muhammad Tanvir Afzal & Hermann Maurer, 2019. "Comprehensive evaluation of h-index and its extensions in the domain of mathematics," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(3), pages 809-822, March.
    14. Zhou Chunlei & Kong Xiangyi & Lin Zhipeng, 2019. "Research on Derek John de Solla Price Medal Prediction Based on Academic Credit Analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(1), pages 159-175, January.
    15. Bartolucci, Francesco, 2012. "Measuring concentration in economic sectors by h-index and g-index," MPRA Paper 40628, University Library of Munich, Germany.
    16. 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.
    17. Muhammad Usman & Ghulam Mustafa & Muhammad Tanvir Afzal, 2021. "Ranking of author assessment parameters using Logistic Regression," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(1), pages 335-353, January.
    18. Brandão, Luana Carneiro & Soares de Mello, João Carlos Correia Baptista, 2019. "A multi-criteria approach to the h-index," European Journal of Operational Research, Elsevier, vol. 276(1), pages 357-363.
    19. Christoph Steinbrüchel, 2019. "A citation index for principal investigators," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(1), pages 305-320, January.
    20. Schreiber, Michael, 2013. "How to derive an advantage from the arbitrariness of the g-index," Journal of Informetrics, Elsevier, vol. 7(2), pages 555-561.

    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:eee:infome:v:4:y:2010:i:4:p:647-651. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/joi .

    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.