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A new family of old Hirsch index variants

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  • Schreiber, Michael

Abstract

The Hirsch index h and the g index proposed by Egghe as well as the f index and the t index proposed by Tol are shown to be special cases of a family of Hirsch index variants, based on the generalized mean with exponent p. Inequalities between the different indices are derived from the generalized mean inequality. The graphical determination of the indices is shown for one example.

Suggested Citation

  • Schreiber, Michael, 2010. "A new family of old Hirsch index variants," Journal of Informetrics, Elsevier, vol. 4(4), pages 647-651.
    • Handle: RePEc:eee:infome:v:4:y:2010:i:4:p:647-651
    DOI: 10.1016/j.joi.2010.05.002
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    References listed on IDEAS

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    1. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    2. Richard S. J. Tol, 2009. "The h-index and its alternatives: An application to the 100 most prolific economists," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 317-324, August.
    3. Michael Schreiber, 2010. "Revisiting the g-index: The average number of citations in the g-core," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(1), pages 169-174, January.
    4. Michael Schreiber, 2008. "An empirical investigation of the g‐index for 26 physicists in comparison with the h‐index, the A‐index, and the R‐index," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(9), pages 1513-1522, July.
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    Cited by:

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    3. Ficcadenti, Valerio & Cerqueti, Roy & Ausloos, Marcel & Dhesi, Gurjeet, 2020. "Words ranking and Hirsch index for identifying the core of the hapaxes in political texts," Journal of Informetrics, Elsevier, vol. 14(3).
    4. Pablo Dorta-González & María-Isabel Dorta-González, 2011. "Central indexes to the citation distribution: a complement to the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(3), pages 729-745, September.

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