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A theory of pointwise defined impact measures

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  • Egghe, Leo

Abstract

This paper studies pointwise defined impact measures and gives a mathematical characterization of such measures. We show when such measures are complete evaluation systems in the sense that they determine the function itself.

Suggested Citation

  • Egghe, Leo, 2021. "A theory of pointwise defined impact measures," Journal of Informetrics, Elsevier, vol. 15(3).
    • Handle: RePEc:eee:infome:v:15:y:2021:i:3:s1751157721000407
    DOI: 10.1016/j.joi.2021.101169
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    References listed on IDEAS

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    1. 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.
    2. Leo Egghe & Ronald Rousseau, 2021. "The h-index formalism," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 6137-6145, July.
    3. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    4. Egghe, Leo & Rousseau, Ronald, 2020. "Polar coordinates and generalized h-type indices," Journal of Informetrics, Elsevier, vol. 14(2).
    5. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    6. 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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    Citations

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    Cited by:

    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, 2024. "Mathematical informetrics: Hirsch-type equations and bundles," Journal of Informetrics, Elsevier, vol. 18(1).
    3. Egghe, Leo & Rousseau, Ronald, 2023. "Global informetric impact: A description and definition using bundles," Journal of Informetrics, Elsevier, vol. 17(1).
    4. Leo Egghe, 2022. "Impact measures: What are they?," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(1), pages 385-406, January.

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