IDEAS home Printed from https://ideas.repec.org/a/spr/scient/v95y2013i1d10.1007_s11192-012-0803-9.html
   My bibliography  Save this article

Theoretical justification of the central area indices and the central interval indices

Author

Listed:
  • L. Egghe

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

Abstract

The central area indices and the central interval indices, as introduced in Dorta-González and Dorta-González (Scientometrics 88(3):729–745, 2011), are studied from a theoretical point of view. They are defined in order to yield higher impact values of “selective” authors (i.e., authors with concentrated number of citations over their publications). We show that this property is not valid for every citation distribution. However, if Zipf’s law is adopted for the citation distribution, we can show that the central area indices and the central interval indices have indeed higher values for more selective authors.

Suggested Citation

  • L. Egghe, 2013. "Theoretical justification of the central area indices and the central interval indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 95(1), pages 25-34, April.
    • Handle: RePEc:spr:scient:v:95:y:2013:i:1:d:10.1007_s11192-012-0803-9
    DOI: 10.1007/s11192-012-0803-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11192-012-0803-9
    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/s11192-012-0803-9?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, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    2. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    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. L Egghe, 2011. "A disadvantage of h-type indices for comparing the citation impact of two researchers," Research Evaluation, Oxford University Press, vol. 20(4), pages 341-346, 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. Dorta-González, Pablo & Dorta-González, María Isabel & Santos-Peñate, Dolores Rosa & Suárez-Vega, Rafael, 2014. "Journal topic citation potential and between-field comparisons: The topic normalized impact factor," Journal of Informetrics, Elsevier, vol. 8(2), pages 406-418.
    2. Pablo Dorta-González & María Isabel Dorta-González & Rafael Suárez-Vega, 2015. "An approach to the author citation potential: measures of scientific performance which are invariant across scientific fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(2), pages 1467-1496, February.

    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. L. Egghe, 2011. "The single publication H-index of papers in the Hirsch-core of a researcher and the indirect H-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(3), pages 727-739, December.
    2. Lathabai, Hiran H., 2020. "ψ-index: A new overall productivity index for actors of science and technology," Journal of Informetrics, Elsevier, vol. 14(4).
    3. Maziar Montazerian & Edgar Dutra Zanotto & Hellmut Eckert, 2019. "A new parameter for (normalized) evaluation of H-index: countries as a case study," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(3), pages 1065-1078, March.
    4. L. Egghe, 2011. "Mathematical derivation of the scale-dependence of the h-index and other h-type indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(2), pages 287-292, May.
    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. Egghe, L., 2014. "Impact coverage of the success-index," Journal of Informetrics, Elsevier, vol. 8(2), pages 384-389.
    9. Li Zhai & Xiangbin Yan & Bin Zhu, 2014. "The H l -index: improvement of H-index based on quality of citing papers," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(2), pages 1021-1031, February.
    10. Bar-Ilan, Judit, 2008. "Informetrics at the beginning of the 21st century—A review," Journal of Informetrics, Elsevier, vol. 2(1), pages 1-52.
    11. 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.
    12. Wolfgang Glänzel, 2008. "On some new bibliometric applications of statistics related to the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(1), pages 187-196, October.
    13. 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.
    14. 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.
    15. 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).
    16. Egghe, L., 2011. "Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems," Journal of Informetrics, Elsevier, vol. 5(3), pages 439-445.
    17. 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.
    18. Egghe, Leo & Rousseau, Ronald, 2020. "Polar coordinates and generalized h-type indices," Journal of Informetrics, Elsevier, vol. 14(2).
    19. Franceschini, Fiorenzo & Maisano, Domenico, 2010. "The citation triad: An overview of a scientist's publication output based on Ferrers diagrams," Journal of Informetrics, Elsevier, vol. 4(4), pages 503-511.
    20. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.

    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:95:y:2013:i:1:d:10.1007_s11192-012-0803-9. 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.