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.
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References
Ball, P. (2005), Index aims for fair ranking of scientists. Nature, 436: 900.
Bornmann, L., H. D. Daniel (2005), Does the h-index for ranking of scientists really work? Scientometrics, 65(3): 391–392.
Bornmann, L., H. D. Daniel (2007), What do we know about the h-index? Journal of the American Society for Information Science and Technology, 58(9): 1381–1385.
Cronin, B., L. T. Meho (2006), Using the h-index to rank influential information scientists. Journal of the American Society for Information Science and Technology, 57(9): 1275–1278.
Glänzel, W. (2006), On the h-index: A mathematical approach to a new measure of publication activity and citation impact. Scientometrics, 67(2): 315–321.
Hirsch, J. E. (2005), An index to quantify an individual’s scientific research output. Proceedings of the National Academy of Sciences, 102(46): 16569–16572.
Hirsch, J. E. (2007), Does the h-index have predictive power? Proceedings of the National Academy of Sciences, 104(49): 19193–19198.
Kosmulski, M. (2006), A new Hirsch-type index saves time and works equally well as the original h-index. ISSI Newsletter, 2: 4–6.
Liu, Y., R. Rousseau (2007), Hirsch-type indices and library management: The case of Tongji University Library. Proceedings of the 11th International Conference of the International Society for Scientometrics and Informetrics (ISSI’2007), pp. 514–522.
Oppenheim, C. (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, 58(2): 297–301.
Rousseau, R. (2007), The influence of missing publications on the Hirsch index. Journal of Informetrics, 1: 2–7.
van Raan, A. F. J. (2006), Comparison of the Hirsch-index with standard bibliometric indicators and with peer judgement for 147 chemistry research groups. Scientometrics, 67(3): 491–502.
Woeginger, G. J. (2008), An axiomatic characterization of the Hirsch-index. Mathematical Social Sciences, 56: 224–232.
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Deineko, V.G., Woeginger, G.J. A new family of scientific impact measures: The generalized Kosmulski-indices. Scientometrics 80, 819–826 (2009). https://doi.org/10.1007/s11192-009-2130-0
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DOI: https://doi.org/10.1007/s11192-009-2130-0