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Global informetric impact: A description and definition using bundles

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  • Egghe, Leo
  • Rousseau, Ronald

Abstract

Inspired by the Lorenz curve for evenness or concentration, and the corresponding axioms, we construct a theory leading to the notion of global impact. In this theory, we construct a relation that plays the role of the Lorenz dominance order for evenness or concentration theory. The notion of global impact that we obtain is such that well-known global impact bundles such as percentiles, the cumulative number of items produced by the x most productive sources, the average production of the x most productive sources, the generalized h- and g-indices, and the highest number of citations indeed measure impact in our sense of the word.

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  • Egghe, Leo & Rousseau, Ronald, 2023. "Global informetric impact: A description and definition using bundles," Journal of Informetrics, Elsevier, vol. 17(1).
    • Handle: RePEc:eee:infome:v:17:y:2023:i:1:s1751157722001195
    DOI: 10.1016/j.joi.2022.101366
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    References listed on IDEAS

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    1. Egghe, Leo & Rousseau, Ronald, 2022. "Rank-frequency data and impact in a continuous model: Introducing impact bundles," Journal of Informetrics, Elsevier, vol. 16(3).
    2. Egghe, Leo, 2021. "A theory of pointwise defined impact measures," Journal of Informetrics, Elsevier, vol. 15(3).
    3. Andy Stirling, 2007. "A General Framework for Analysing Diversity in Science, Technology and Society," SPRU Working Paper Series 156, SPRU - Science Policy Research Unit, University of Sussex Business School.
    4. Egghe, Leo & Rousseau, Ronald, 2019. "Solution by step functions of a minimum problem in L2[0,T], using generalized h- and g-indices," Journal of Informetrics, Elsevier, vol. 13(3), pages 785-792.
    5. Jost, Lou, 2009. "Mismeasuring biological diversity: Response to Hoffmann and Hoffmann (2008)," Ecological Economics, Elsevier, vol. 68(4), pages 925-928, February.
    6. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    7. Leo Egghe & Raf Guns & Ronald Rousseau, 2011. "Thoughts on uncitedness: Nobel laureates and Fields medalists as case studies," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(8), pages 1637-1644, August.
    8. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    9. Leo Egghe, 2022. "Impact measures: What are they?," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(1), pages 385-406, January.
    10. Leo Egghe & Raf Guns & Ronald Rousseau, 2011. "Thoughts on uncitedness: Nobel laureates and Fields medalists as case studies," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 62(8), pages 1637-1644, August.
    11. Xiaojun Hu & Ronald Rousseau, 2017. "Nobel Prize winners 2016: Igniting or sparking foundational publications?," Scientometrics, Springer;Akadémiai Kiadó, vol. 110(2), pages 1053-1063, February.
    12. 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.
    13. Wagner, Caroline S. & Roessner, J. David & Bobb, Kamau & Klein, Julie Thompson & Boyack, Kevin W. & Keyton, Joann & Rafols, Ismael & Börner, Katy, 2011. "Approaches to understanding and measuring interdisciplinary scientific research (IDR): A review of the literature," Journal of Informetrics, Elsevier, vol. 5(1), pages 14-26.
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    Cited by:

    1. Egghe, Leo, 2024. "Mathematical informetrics: Hirsch-type equations and bundles," Journal of Informetrics, Elsevier, vol. 18(1).
    2. Bertoli-Barsotti, Lucio & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2024. "Gini-stable Lorenz curves and their relation to the generalised Pareto distribution," Journal of Informetrics, Elsevier, vol. 18(2).

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