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Investigations on the step-based research indices of Chambers and Miller

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  • Woeginger, Gerhard J.

Abstract

In a recent paper, Chambers and Miller introduced two fundamental axioms for scientific research indices. We perform a detailed analysis of these two axioms, thereby providing clean combinatorial characterizations of the research indices that satisfy these axioms and of the so-called step-based indices. We single out the staircase indices as a particularly simple subfamily of the step-based indices, and we provide a simple axiomatic characterization for them.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:infome:v:8:y:2014:i:3:p:659-666
    DOI: 10.1016/j.joi.2014.06.001
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    References listed on IDEAS

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    1. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    2. Woeginger, Gerhard J., 2008. "An axiomatic analysis of Egghe’s g-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 364-368.
    3. Miroiu, Adrian, 2013. "Axiomatizing the Hirsch index: Quantity and quality disjoined," Journal of Informetrics, Elsevier, vol. 7(1), pages 10-15.
    4. Christensen, Flemming & Hougaard, Jens Leth & Keiding, Hans, 1999. "An axiomatic characterization of efficiency indices," Economics Letters, Elsevier, vol. 63(1), pages 33-37, April.
    5. Quesada, Antonio, 2011. "Axiomatics for the Hirsch index and the Egghe index," Journal of Informetrics, Elsevier, vol. 5(3), pages 476-480.
    6. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    7. Bouyssou, D. & Marchant, T., 2010. "Consistent bibliometric rankings of authors and of journals," Journal of Informetrics, Elsevier, vol. 4(3), pages 365-378.
    8. Vladimir G. Deineko & Gerhard J. Woeginger, 2009. "A new family of scientific impact measures: The generalized Kosmulski-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(3), pages 819-826, September.
    9. Chambers, Christopher P. & Miller, Alan D., 2014. "Scholarly influence," Journal of Economic Theory, Elsevier, vol. 151(C), pages 571-583.
    10. Bouyssou, D. & Marchant, T., 2010. "Consistent bibliometric rankings of authors and of journals," Journal of Informetrics, Elsevier, vol. 4(3), pages 365-378.
    11. Thierry Marchant, 2009. "An axiomatic characterization of the ranking based on the h-index and some other bibliometric rankings of authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 325-342, August.
    12. M Schreiber & C C Malesios & S Psarakis, 2011. "Categorizing h-index variants," Research Evaluation, Oxford University Press, vol. 20(5), pages 397-409, December.
    13. 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.
    14. Woeginger, Gerhard J., 2008. "A symmetry axiom for scientific impact indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 298-303.
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