IDEAS home Printed from https://ideas.repec.org/a/eee/infome/v8y2014i1p212-216.html
   My bibliography  Save this article

A refinement of Egghe's increment studies

Author

Listed:
  • Rousseau, Ronald

Abstract

In this contribution we show how results obtained in a series of papers by Egghe can be refined in the sense that we need fewer additional conditions. In these articles Egghe considered a general h-type index which has a value n if n is the largest natural number such that the first n publications (ranked according to the number of received citations) have received at least f(n) citations, with f(n) any increasing function defined on the strictly positive numbers. His results deal with increments I2 and I1 defined by: I2(n)=I1(n+1)−I1(n) where I1(n)=(n+1)f(n+1)−nf(n). Our results differ from Egghe's because we also consider Ik(0), k=1,2. We, moreover, provide a non-recursive definition of the increment functions Ik(n).

Suggested Citation

  • Rousseau, Ronald, 2014. "A refinement of Egghe's increment studies," Journal of Informetrics, Elsevier, vol. 8(1), pages 212-216.
    • Handle: RePEc:eee:infome:v:8:y:2014:i:1:p:212-216
    DOI: 10.1016/j.joi.2013.12.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1751157713001120
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.joi.2013.12.003?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. Egghe, L., 2013. "A mathematical characterization of the Hirsch-index by means of minimal increments," Journal of Informetrics, Elsevier, vol. 7(2), pages 388-393.
    2. Qiang Wu, 2010. "The w-index: A measure to assess scientific impact by focusing on widely cited papers," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(3), pages 609-614, March.
    Full references (including those not matched with items on IDEAS)

    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. Egghe, L., 2014. "Impact coverage of the success-index," Journal of Informetrics, Elsevier, vol. 8(2), pages 384-389.
    2. Deming Lin & Tianhui Gong & Wenbin Liu & Martin Meyer, 2020. "An entropy-based measure for the evolution of h index research," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(3), pages 2283-2298, December.
    3. Zhenbin Yan & Qiang Wu & Xingchen Li, 2016. "Do Hirsch-type indices behave the same in assessing single publications? An empirical study of 29 bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 109(3), pages 1815-1833, December.
    4. Schreiber, Michael, 2013. "A case study of the arbitrariness of the h-index and the highly-cited-publications indicator," Journal of Informetrics, Elsevier, vol. 7(2), pages 379-387.
    5. Ho Fai Chan & Bruno S. Frey & Jana Gallus & Markus Schaffner & Benno Torgler & Stephen Whyte, 2016. "External Influence as an Indicator of Scholarly Importance," CESifo Economic Studies, CESifo Group, vol. 62(1), pages 170-195.
    6. Bai, Xiaomei & Zhang, Fuli & Liu, Jiaying & Xia, Feng, 2023. "Quantifying the impact of scientific collaboration and papers via motif-based heterogeneous networks," Journal of Informetrics, Elsevier, vol. 17(2).
    7. 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).
    8. Madiha Ameer & Muhammad Tanvir Afzal, 2019. "Evaluation of h-index and its qualitative and quantitative variants in Neuroscience," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(2), pages 653-673, November.
    9. Glenn Ellison, 2013. "How Does the Market Use Citation Data? The Hirsch Index in Economics," American Economic Journal: Applied Economics, American Economic Association, vol. 5(3), pages 63-90, July.
    10. 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.
    11. Egghe, L., 2013. "A mathematical characterization of the Hirsch-index by means of minimal increments," Journal of Informetrics, Elsevier, vol. 7(2), pages 388-393.
    12. 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.
    13. 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.
    14. Xiaomei Bai & Fuli Zhang & Jinzhou Li & Zhong Xu & Zeeshan Patoli & Ivan Lee, 2021. "Quantifying scientific collaboration impact by exploiting collaboration-citation network," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(9), pages 7993-8008, September.
    15. Qurat-ul Ain & Hira Riaz & Muhammad Tanvir Afzal, 2019. "Evaluation of h-index and its citation intensity based variants in the field of mathematics," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(1), pages 187-211, April.
    16. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    17. Kuan, Chung-Huei & Huang, Mu-Hsuan & Chen, Dar-Zen, 2011. "Positioning research and innovation performance using shape centroids of h-core and h-tail," Journal of Informetrics, Elsevier, vol. 5(4), pages 515-528.
    18. Eleni Fragkiadaki & Georgios Evangelidis, 2014. "Review of the indirect citations paradigm: theory and practice of the assessment of papers, authors and journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 99(2), pages 261-288, May.
    19. Gagolewski, Marek, 2011. "Bibliometric impact assessment with R and the CITAN package," Journal of Informetrics, Elsevier, vol. 5(4), pages 678-692.
    20. Nadia Simoes & Nuno Crespo, 2020. "A flexible approach for measuring author-level publishing performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 122(1), pages 331-355, January.

    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:8:y:2014:i:1:p:212-216. 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.