IDEAS home Printed from https://ideas.repec.org/a/spr/scient/v83y2010i2d10.1007_s11192-009-0009-y.html
   My bibliography  Save this article

Characteristic scores and scales in a Lotkaian framework

Author

Listed:
  • L. Egghe

    (Universiteit Hasselt (UHasselt))

Abstract

The characteristic scores and scales (CSS), introduced by Glänzel and Schubert (J Inform Sci 14:123–127, 1988) and further studied in subsequent papers of Glänzel, can be calculated exactly in a Lotkaian framework. We prove that these CSS are simple exponents of the average number of items per source in general IPPs. The proofs are given using size-frequency functions as well as using rank-frequency functions. We note that CSS do not necessarily have to be defined as averages but that medians can be used as well. Also for these CSS we present exact formulae in the Lotkaian framework and both types of CSS are compared. We also link these formulae with the h-index.

Suggested Citation

  • L. Egghe, 2010. "Characteristic scores and scales in a Lotkaian framework," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(2), pages 455-462, May.
    • Handle: RePEc:spr:scient:v:83:y:2010:i:2:d:10.1007_s11192-009-0009-y
    DOI: 10.1007/s11192-009-0009-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11192-009-0009-y
    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/s11192-009-0009-y?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.
    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, 2010. "Letter to the editor: On Randić’s H-sequence," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(3), pages 795-797, September.
    2. Vîiu, Gabriel-Alexandru, 2017. "Disaggregated research evaluation through median-based characteristic scores and scales: a comparison with the mean-based approach," Journal of Informetrics, Elsevier, vol. 11(3), pages 748-765.

    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. Zhao, Star X. & Rousseau, Ronald & Ye, Fred Y., 2011. "h-Degree as a basic measure in weighted networks," Journal of Informetrics, Elsevier, vol. 5(4), pages 668-677.
    2. Kwame Boamah‐Addo & Tomasz J. Kozubowski & Anna K. Panorska, 2023. "A discrete truncated Zipf distribution," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 77(2), pages 156-187, May.
    3. Jiancheng Guan & Gangbo Wang, 2010. "A comparative study of research performance in nanotechnology for China’s inventor–authors and their non-inventing peers," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(2), pages 331-343, August.
    4. Fiorenzo Franceschini & Maurizio Galetto & Domenico Maisano & Luca Mastrogiacomo, 2012. "The success-index: an alternative approach to the h-index for evaluating an individual’s research output," Scientometrics, Springer;Akadémiai Kiadó, vol. 92(3), pages 621-641, September.
    5. M. Ryan Haley, 2016. "A ranking of journals for the aspiring health economist," Applied Economics, Taylor & Francis Journals, vol. 48(18), pages 1710-1718, April.
    6. 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.
    7. Lathabai, Hiran H., 2020. "ψ-index: A new overall productivity index for actors of science and technology," Journal of Informetrics, Elsevier, vol. 14(4).
    8. 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.
    9. J. Martin Zyl, 2013. "The generalized Pareto distribution fitted to research outputs of countries," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(3), pages 1099-1109, March.
    10. 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.
    11. 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.
    12. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2019. "How mean rank and mean size may determine the generalised Lorenz curve: With application to citation analysis," Journal of Informetrics, Elsevier, vol. 13(1), pages 387-396.
    13. 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.
    14. 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.
    15. Uchendu Eugene Chigbu & Sulaiman Olusegun Atiku & Cherley C. Du Plessis, 2023. "The Science of Literature Reviews: Searching, Identifying, Selecting, and Synthesising," Publications, MDPI, vol. 11(1), pages 1-16, January.
    16. Petridis, Konstantinos & Malesios, Chrisovalantis & Arabatzis, Garyfallos & Thanassoulis, Emmanuel, 2013. "Efficiency analysis of forestry journals: Suggestions for improving journals’ quality," Journal of Informetrics, Elsevier, vol. 7(2), pages 505-521.
    17. Jiancheng Guan & Yan Yan & Jingjing Zhang, 2015. "How do collaborative features affect scientific output? Evidences from wind power field," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(1), pages 333-355, January.
    18. Beirlant, Jan & Glänzel, Wolfgang & Carbonez, An & Leemans, Herlinde, 2007. "Scoring research output using statistical quantile plotting," Journal of Informetrics, Elsevier, vol. 1(3), pages 185-192.
    19. Liu, Yuxian & Rousseau, Ronald, 2008. "Definitions of time series in citation analysis with special attention to the h-index," Journal of Informetrics, Elsevier, vol. 2(3), pages 202-210.
    20. Unnikrishnan Nair, N. & Vineshkumar, B., 2022. "Modelling informetric data using quantile functions," Journal of Informetrics, Elsevier, vol. 16(2).

    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:83:y:2010:i:2:d:10.1007_s11192-009-0009-y. 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.