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More axiomatics for the Hirsch index

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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.

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References

  • Hirsch, J. E. (2005). An index to quantify an individual’s scientific research output. Proceedings of the National Academy of Sciences, 102(46), 16569–16572.

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  • Quesada, A. (2008), Monotonicity and the Hirsch index. Journal of Informetrics (to appear).

  • Wikipedia (2008), h-index, http://en.wikipedia.org/wiki/Hirsch_index, accessed the 9th of December, 2008.

  • Woeginger, G. J. (2008a). An axiomatic characterization of the Hirsch-index. Mathematical Social Sciences, 56(2), 224–232.

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  • Woeginger, G. J. (2008b). A symmetry axiom for scientific impact indices. Journal of Informetrics, 2(3), 298–303.

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Acknowledgements

Financial support from the Spanish Ministerio de Educación y Ciencia under research project SEJ2007-67580-C02-01 and from the Departament d’Universitats, Recerca i Societat de la Informació (Generalitat de Catalunya) under research project 2005SGR-00949 is gratefully acknowledged. Many thanks to the two reviewers of this paper and to the Editor in Chief, Tibor Braun.

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  1. Departament d’Economia, Universitat Rovira i Virgili, Avinguda de la Universitat 1, 43204, Reus, Spain

    Antonio Quesada

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  1. Antonio Quesada
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Correspondence to Antonio Quesada.

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Quesada, A. More axiomatics for the Hirsch index. Scientometrics 82, 413–418 (2010). https://doi.org/10.1007/s11192-009-0026-x

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  • DOI: https://doi.org/10.1007/s11192-009-0026-x

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