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An axiomatic analysis of Egghe’s g-index

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  • Woeginger, Gerhard J.
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    Abstract

    The g-index is a well-known index for measuring and comparing the output of scientific researchers, which has been introduced by Leo Egghe in 2006 as an improvement of the Hirsch-index. This article gives an axiomatic characterization of the g-index in terms of three natural axioms.

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    File URL: http://www.sciencedirect.com/science/article/pii/S1751157708000266
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    Article provided by Elsevier in its journal Journal of Informetrics.

    Volume (Year): 2 (2008)
    Issue (Month): 4 ()
    Pages: 364-368

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    Handle: RePEc:eee:infome:v:2:y:2008:i:4:p:364-368
    DOI: 10.1016/j.joi.2008.05.002
    Contact details of provider: Web page: http://www.elsevier.com/locate/joi

    Keywords: Scientific impact measures; Citation analysis; Axiomatization;

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    1. Tol, Richard S.J., 2008. "A rational, successive g-index applied to economics departments in Ireland," Journal of Informetrics, Elsevier, vol. 2(2), pages 149-155.
    2. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    3. Aboudi, Ronny & Thon, Dominique, 2006. "Refinements of Muirhead's Lemma and income inequality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 201-216, March.
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    Cited by:

    1. Bouyssou, Denis & Marchant, Thierry, 2011. "Bibliometric rankings of journals based on Impact Factors: An axiomatic approach," Journal of Informetrics, Elsevier, vol. 5(1), pages 75-86.
    2. Gagolewski, Marek & Mesiar, Radko, 2012. "Aggregating different paper quality measures with a generalized h-index," Journal of Informetrics, Elsevier, vol. 6(4), pages 566-579.
    3. Rousseau, Ronald, 2008. "Woeginger's axiomatisation of the h-index and its relation to the g-index, the h(2)-index and the R2-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 335-340.
    4. Gagolewski, Marek, 2011. "Bibliometric impact assessment with R and the CITAN package," Journal of Informetrics, Elsevier, vol. 5(4), pages 678-692.
    5. Moussa, Salim & Touzani, Mourad, 2010. "Ranking marketing journals using the Google Scholar-based hg-index," Journal of Informetrics, Elsevier, vol. 4(1), pages 107-117.
    6. Mukherjee, Conan & Alam, Aftab, 2016. "On Evaluating Author's Performance by Publications: An Axiomatic Study," Working Papers 2016:14, Lund University, Department of Economics, revised 12 May 2017.
    7. Kongo, Takumi, 2014. "An alternative axiomatization of the Hirsch index," Journal of Informetrics, Elsevier, vol. 8(1), pages 252-258.
    8. Motty Perry & Philip J. Reny, 2016. "How to Count Citations If You Must," American Economic Review, American Economic Association, vol. 106(9), pages 2722-2741, September.
    9. Quesada, Antonio, 2011. "Axiomatics for the Hirsch index and the Egghe index," Journal of Informetrics, Elsevier, vol. 5(3), pages 476-480.
    10. Franceschini, Fiorenzo & Maisano, Domenico A., 2010. "Analysis of the Hirsch index's operational properties," European Journal of Operational Research, Elsevier, vol. 203(2), pages 494-504, June.
    11. Gagolewski, Marek, 2013. "Scientific impact assessment cannot be fair," Journal of Informetrics, Elsevier, vol. 7(4), pages 792-802.
    12. Chambers, Christopher P. & Miller, Alan D., 2014. "Scholarly influence," Journal of Economic Theory, Elsevier, vol. 151(C), pages 571-583.
    13. Lucio Bertoli-Barsotti, 2016. "Normalizing the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 106(2), pages 645-655, February.
    14. Adachi, Tsuyoshi & Kongo, Takumi, 2015. "Further axiomatizations of Egghe's g-index," Journal of Informetrics, Elsevier, vol. 9(4), pages 839-844.
    15. 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.
    16. Zhang, Lin & Thijs, Bart & Glänzel, Wolfgang, 2011. "The diffusion of H-related literature," Journal of Informetrics, Elsevier, vol. 5(4), pages 583-593.
    17. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    18. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    19. Woeginger, Gerhard J., 2014. "Investigations on the step-based research indices of Chambers and Miller," Journal of Informetrics, Elsevier, vol. 8(3), pages 659-666.
    20. da Silva, Roberto & Kalil, Fahad & de Oliveira, José Palazzo Moreira & Martinez, Alexandre Souto, 2012. "Universality in bibliometrics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2119-2128.
    21. 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.

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