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Measures of linear type lead to a characterization of Zipf functions

Author

Listed:
  • Leo Egghe

    (University of Hasselt)

  • Ronald Rousseau

    (University of Antwerp
    KU Leuven)

Abstract

In this contribution we introduce the notion of a measure (or indicator) of linear type. Combining ideas related to power functions, in particular Zipf’s function, and h-type indices, we come to a novel characterization of general power functions and Zipf’s functions.

Suggested Citation

  • Leo Egghe & Ronald Rousseau, 2019. "Measures of linear type lead to a characterization of Zipf functions," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(3), pages 1707-1715, December.
    • Handle: RePEc:spr:scient:v:121:y:2019:i:3:d:10.1007_s11192-019-03257-y
    DOI: 10.1007/s11192-019-03257-y
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    References listed on IDEAS

    as
    1. Denis Bouyssou & Thierry Marchant, 2011. "Ranking scientists and departments in a consistent manner," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(9), pages 1761-1769, September.
    2. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    3. Ronald Rousseau, 2016. "Citation data as a proxy for quality or scientific influence are at best PAC (probably approximately correct)," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 67(12), pages 3092-3094, December.
    4. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    5. 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.
    6. Ludo Waltman & Nees Jan van Eck, 2012. "The inconsistency of the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(2), pages 406-415, February.
    7. 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. Egghe, Leo & Rousseau, Ronald, 2020. "Polar coordinates and generalized h-type indices," Journal of Informetrics, Elsevier, vol. 14(2).

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