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A new family of scientific impact measures: The generalized Kosmulski-indices

Author

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  • Vladimir G. Deineko

    (The University of Warwick)

  • Gerhard J. Woeginger

    (TU Eindhoven)

Abstract

This article introduces the generalized Kosmulski-indices as a new family of scientific impact measures for ranking the output of scientific researchers. As special cases, this family contains the well-known Hirsch-index h and the Kosmulski-index h (2). The main contribution is an axiomatic characterization that characterizes every generalized Kosmulski-index in terms of three axioms.

Suggested Citation

  • Vladimir G. Deineko & Gerhard J. Woeginger, 2009. "A new family of scientific impact measures: The generalized Kosmulski-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(3), pages 819-826, September.
    • Handle: RePEc:spr:scient:v:80:y:2009:i:3:d:10.1007_s11192-009-2130-0
    DOI: 10.1007/s11192-009-2130-0
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    References listed on IDEAS

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    1. Philip Ball, 2005. "Index aims for fair ranking of scientists," Nature, Nature, vol. 436(7053), pages 900-900, August.
    2. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    3. Charles Oppenheim, 2007. "Using the h‐index to rank influential British researchers in information science and librarianship," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(2), pages 297-301, January.
    4. Anthony F. J. Raan, 2006. "Comparison of the Hirsch-index with standard bibliometric indicators and with peer judgment for 147 chemistry research groups," Scientometrics, Springer;Akadémiai Kiadó, vol. 67(3), pages 491-502, June.
    5. Lutz Bornmann & Hans‐Dieter Daniel, 2007. "What do we know about the h index?," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(9), pages 1381-1385, July.
    6. Rousseau, Ronald, 2007. "The influence of missing publications on the Hirsch index," Journal of Informetrics, Elsevier, vol. 1(1), pages 2-7.
    7. Lutz Bornmann & Hans-Dieter Daniel, 2005. "Does the h-index for ranking of scientists really work?," Scientometrics, Springer;Akadémiai Kiadó, vol. 65(3), pages 391-392, December.
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    Cited by:

    1. Kakushadze, Zura, 2016. "An index for SSRN downloads," Journal of Informetrics, Elsevier, vol. 10(1), pages 9-28.
    2. Miroiu, Adrian, 2013. "Axiomatizing the Hirsch index: Quantity and quality disjoined," Journal of Informetrics, Elsevier, vol. 7(1), pages 10-15.
    3. Egghe, Leo & Rousseau, Ronald, 2019. "Infinite sequences and their h-type indices," Journal of Informetrics, Elsevier, vol. 13(1), pages 291-298.
    4. David I. Stern & Richard S.J. Tol, 2018. "How to Count Citations If You Must: Comment," Working Paper Series 0118, Department of Economics, University of Sussex Business School.
    5. Brandão, Luana Carneiro & Soares de Mello, João Carlos Correia Baptista, 2019. "A multi-criteria approach to the h-index," European Journal of Operational Research, Elsevier, vol. 276(1), pages 357-363.
    6. Ana Paula dos Santos Rubem & Ariane Lima Moura & João Carlos Correia Baptista Soares de Mello, 2015. "Comparative analysis of some individual bibliometric indices when applied to groups of researchers," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(1), pages 1019-1035, January.
    7. Chambers, Christopher P. & Miller, Alan D., 2014. "Scholarly influence," Journal of Economic Theory, Elsevier, vol. 151(C), pages 571-583.
    8. David I. Stern & Richard S. J. Tol, 2021. "Depth and breadth relevance in citation metrics," Economic Inquiry, Western Economic Association International, vol. 59(3), pages 961-977, July.
    9. Boczek, Michał & Hovana, Anton & Hutník, Ondrej & Kaluszka, Marek, 2021. "New monotone measure-based integrals inspired by scientific impact problem," European Journal of Operational Research, Elsevier, vol. 290(1), pages 346-357.
    10. Osório, António (António Miguel), 2019. "The value and credits of n-authors publications," Working Papers 2072/376026, Universitat Rovira i Virgili, Department of Economics.
    11. Sumeer Gul & Nahida Tun Nisa & Tariq Ahmad Shah & Sangita Gupta & Asifa Jan & Suhail Ahmad, 2015. "Middle East: research productivity and performance across nations," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(2), pages 1157-1166, November.
    12. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    13. Woeginger, Gerhard J., 2014. "Investigations on the step-based research indices of Chambers and Miller," Journal of Informetrics, Elsevier, vol. 8(3), pages 659-666.
    14. Bouyssou, Denis & Marchant, Thierry, 2016. "Ranking authors using fractional counting of citations: An axiomatic approach," Journal of Informetrics, Elsevier, vol. 10(1), pages 183-199.

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