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More axiomatics for the Hirsch index

Author

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  • Antonio Quesada

    (Universitat Rovira i Virgili)

Abstract

The Hirsch index is a number that synthesizes a researcher’s output. It is defined as the maximum number h such that the researcher has h papers with at least h citations each. Woeginger (Math Soc Sci 56: 224–232, 2008a; J Informetr 2: 298–303, 2008b) suggests two axiomatic characterizations of the Hirsch index using monotonicity as one of the axioms. This note suggests three characterizations without adopting the monotonicity axiom.

Suggested Citation

  • Antonio Quesada, 2010. "More axiomatics for the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 413-418, February.
    • Handle: RePEc:spr:scient:v:82:y:2010:i:2:d:10.1007_s11192-009-0026-x
    DOI: 10.1007/s11192-009-0026-x
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    References listed on IDEAS

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    1. Quesada, Antonio, 2009. "Monotonicity and the Hirsch index," Journal of Informetrics, Elsevier, vol. 3(2), pages 158-160.
    2. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    3. Woeginger, Gerhard J., 2008. "A symmetry axiom for scientific impact indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 298-303.
    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.
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    Cited by:

    1. L'aszl'o Csat'o, 2019. "Journal ranking should depend on the level of aggregation," Papers 1904.06300, arXiv.org, revised Sep 2019.
    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. Juan A Crespo & Ignacio Ortuño-Ortín & Javier Ruiz-Castillo, 2012. "The Citation Merit of Scientific Publications," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-9, November.
    4. Miroiu, Adrian, 2013. "Axiomatizing the Hirsch index: Quantity and quality disjoined," Journal of Informetrics, Elsevier, vol. 7(1), pages 10-15.
    5. Qiang Wu & Peng Zhang, 2017. "Some indices violating the basic domination relation," Scientometrics, Springer;Akadémiai Kiadó, vol. 113(1), pages 495-500, October.
    6. Ash Mohammad Abbas, 2011. "Weighted indices for evaluating the quality of research with multiple authorship," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(1), pages 107-131, July.
    7. Kongo, Takumi, 2014. "An alternative axiomatization of the Hirsch index," Journal of Informetrics, Elsevier, vol. 8(1), pages 252-258.
    8. Javier Ruiz-Castillo, 2012. "The evaluation of citation distributions," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 291-310, March.
    9. Sylvain Béal & Sylvain Ferrières & Eric Rémila & Phillippe Solal, 2016. "An axiomatization of the iterated h-index and applications to sport rankings," Working Papers 2016-11, CRESE.
    10. Stefano Vannucci, 2017. "Hyper-H-Indices for Multi-Attribute Research Outputs: Characterizations," Department of Economics University of Siena 755, Department of Economics, University of Siena.
    11. 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.
    12. Quesada, Antonio, 2011. "Axiomatics for the Hirsch index and the Egghe index," Journal of Informetrics, Elsevier, vol. 5(3), pages 476-480.
    13. Gagolewski, Marek, 2013. "Scientific impact assessment cannot be fair," Journal of Informetrics, Elsevier, vol. 7(4), pages 792-802.
    14. 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.
    15. Chambers, Christopher P. & Miller, Alan D., 2014. "Scholarly influence," Journal of Economic Theory, Elsevier, vol. 151(C), pages 571-583.
    16. Albarrán, Pedro & Ortuño, Ignacio & Ruiz-Castillo, Javier, 2011. "The measurement of low- and high-impact in citation distributions: Technical results," Journal of Informetrics, Elsevier, vol. 5(1), pages 48-63.
    17. Csató, László, 2019. "Journal ranking should depend on the level of aggregation," Journal of Informetrics, Elsevier, vol. 13(4).
    18. Adachi, Tsuyoshi & Kongo, Takumi, 2015. "Further axiomatizations of Egghe's g-index," Journal of Informetrics, Elsevier, vol. 9(4), pages 839-844.
    19. Osório, António (António Miguel), 2019. "The value and credits of n-authors publications," Working Papers 2072/376026, Universitat Rovira i Virgili, Department of Economics.
    20. László Csató, 2018. "Characterization of an inconsistency ranking for pairwise comparison matrices," Annals of Operations Research, Springer, vol. 261(1), pages 155-165, February.
    21. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    22. Antonio Quesada, 2011. "Further characterizations of the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(1), pages 107-114, April.
    23. Bouyssou, Denis & Marchant, Thierry, 2016. "Ranking authors using fractional counting of citations: An axiomatic approach," Journal of Informetrics, Elsevier, vol. 10(1), pages 183-199.

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