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Dominance dimension: a common parametric formulation for integer-valued scientific impact indices

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  • Stefano Vannucci

    (University of Siena)

Abstract

We introduce the dominance dimension principle and the parameterized family of criteria for the assessment of publication/citation profiles it generates. We show that by a suitable choice of parameters dominance dimension may specialize to the most widely known and used of those impact scores for the scientific output of authors which disallow endogenous reputation effects, including the Durfee- or h-number, the publication number and the citation number.

Suggested Citation

  • Stefano Vannucci, 2010. "Dominance dimension: a common parametric formulation for integer-valued scientific impact indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 43-48, July.
    • Handle: RePEc:spr:scient:v:84:y:2010:i:1:d:10.1007_s11192-009-0091-1
    DOI: 10.1007/s11192-009-0091-1
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    References listed on IDEAS

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    1. Nicolas CARAYOL & Agenor LAHATTE, 2009. "Dominance relations and universities ranking," Cahiers du GREThA (2007-2019) 2009-02, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
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    4. Rousseau, Ronald, 2008. "Woeginger's axiomatisation of the h-index and its relation to the g-index, the h(2)-index and the R2-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 335-340.
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    6. 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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    8. Woeginger, Gerhard J., 2008. "An axiomatic analysis of Egghe’s g-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 364-368.
    9. Chun-Ting Zhang, 2009. "The e-Index, Complementing the h-Index for Excess Citations," PLOS ONE, Public Library of Science, vol. 4(5), pages 1-4, May.
    10. Thomas R. Anderson & Robin K. S. Hankin & Peter D. Killworth, 2008. "Beyond the Durfee square: Enhancing the h-index to score total publication output," Scientometrics, Springer;Akadémiai Kiadó, vol. 76(3), pages 577-588, September.
    11. van Eck, N.J.P. & Waltman, L., 2008. "Generalizing the h- and g-indices," ERIM Report Series Research in Management ERS-2008-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    Scientific impact indices; Integer-valued scores; Primitive recursive functions;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • Z00 - Other Special Topics - - General - - - General
    • Z19 - Other Special Topics - - Cultural Economics - - - Other

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