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Real and rational variants of the h-index and the g-index

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  • Guns, Raf
  • Rousseau, Ronald

Abstract

The definitions of the rational and real-valued variants of the h-index and g-index are reviewed. It is shown how they can be obtained both graphically and by calculation. Formulae are derived expressing the exact relations between the h-variants and between the g-variants. Subsequently these relations are examined. In a citation context the real h-index is often, but not always, smaller than the rational h-index. It is also shown that the relation between the real and the rational g-index depends on the number of citations of the article ranked g+1. Maximum differences between h, hr and hrat on the one hand and between g, gr and grat on the other are determined.

Suggested Citation

  • Guns, Raf & Rousseau, Ronald, 2009. "Real and rational variants of the h-index and the g-index," Journal of Informetrics, Elsevier, vol. 3(1), pages 64-71.
    • Handle: RePEc:eee:infome:v:3:y:2009:i:1:p:64-71
    DOI: 10.1016/j.joi.2008.11.004
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    References listed on IDEAS

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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. Frances Ruane & Richard S. J. Tol, 2008. "Rational (successive) h-indices: An application to economics in the Republic of Ireland," Scientometrics, Springer;Akadémiai Kiadó, vol. 75(2), pages 395-405, May.
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