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An investigation on mathematical models of the h-index

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Abstract

Based on two large data samples from ISI databases, the author evaluated the Hirsch model, the Egghe-Rousseau model, and the Glänzel-Schubert model of the h-index. The results support the Glänzel-Schubert model as a better estimation of the h-index at both journal and institution levels. If h c , h p and h pc stand for the Hirsch estimation, Egghe-Rousseau estimation, and Glänzel-Schubert estimation, respectively, then an inequality h p < h ∼ h pc < h c holds in most cases.

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References

  • Burrell, Q. L. (2007), Hirsch’s h-index: A stochastic model. Journal of Informetrics, 1(1): 16–25.

    Article  Google Scholar 

  • Csajbók, E., Berhidi, A., Vasas, L., Schubert, A. (2007), Hirsch-index for countries based on Essential Science Indicators data. Scientometrics, 73(1): 91–117.

    Article  Google Scholar 

  • Egghe, L. (2007), Dynamic h-index: the Hirsch index in function of time. Journal of the American Society for Information Science and Technology, 58(3): 452–454.

    Article  Google Scholar 

  • Egghe, L., Rousseau, R. (2006), An informetric model for the Hirsch-index. Scientometrics, 69(1): 121–129.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Hirsch, J. E., An index to quantify an individual’s scientific research output. Proceedings of the National Academy of Sciences of the USA, 2005, 102(46): 16569–16572.

    Article  Google Scholar 

  • Schubert, A., Glänzel, W. (2007), A systematic analysis of Hirsch-type indices for journals. Journal of Informetrics, 1(2): 179–184.

    Article  Google Scholar 

  • Ye, F. Y., Rousseau, R. (2008), The power law model and total career h-index sequences. Journal of Informetrics, 4: 288–297.

    Article  Google Scholar 

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Authors and Affiliations

  1. Dept. Information Resources Management, Zhejiang University, Hangzhou, P. R. China

    Fred Y. Ye

  2. Institution of Scientific and Technical Information of China, Beijing, P. R. China

    Fred Y. Ye

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  1. Fred Y. Ye
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Correspondence to Fred Y. Ye.

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Ye, F.Y. An investigation on mathematical models of the h-index. Scientometrics 81, 493–498 (2009). https://doi.org/10.1007/s11192-008-2169-6

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  • DOI: https://doi.org/10.1007/s11192-008-2169-6

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