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Probing the h-core: an investigation of the tail–core ratio for rank distributions

Author

Listed:
  • Fred Y. Ye

    (Zhejiang University
    Institute of Scientific and Technical Information of China)

  • Ronald Rousseau

    (KHBO (Association K.U.Leuven)
    K.U.Leuven)

Abstract

The set of citations received by a set of publications consists of citations received by articles in the h-core and citations received by articles in the h-tail. Denoting the cardinalities of these fours sets as C, P, C H and C T we introduce the tail-core ratio (C T/C H) and show that in practical cases this ratio tends to increase. Introducing further the k-index, defined as k = (C/P)/(C T/C H), we show that this index decreases in most practical cases. A power law model is in accordance with these practical observations.

Suggested Citation

  • Fred Y. Ye & Ronald Rousseau, 2010. "Probing the h-core: an investigation of the tail–core ratio for rank distributions," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(2), pages 431-439, August.
    • Handle: RePEc:spr:scient:v:84:y:2010:i:2:d:10.1007_s11192-009-0099-6
    DOI: 10.1007/s11192-009-0099-6
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    References listed on IDEAS

    as
    1. Ye, Fred Y. & Rousseau, Ronald, 2008. "The power law model and total career h-index sequences," Journal of Informetrics, Elsevier, vol. 2(4), pages 288-297.
    2. Liu, Yuxian & Rousseau, Ronald, 2008. "Definitions of time series in citation analysis with special attention to the h-index," Journal of Informetrics, Elsevier, vol. 2(3), pages 202-210.
    3. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    4. Pentti Riikonen & Mauno Vihinen, 2008. "National research contributions: A case study on Finnish biomedical research," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(2), pages 207-222, November.
    5. Chun-Ting Zhang, 2009. "The e-Index, Complementing the h-Index for Excess Citations," PLOS ONE, Public Library of Science, vol. 4(5), pages 1-4, May.
    6. Schubert, András & Glänzel, Wolfgang, 2007. "A systematic analysis of Hirsch-type indices for journals," Journal of Informetrics, Elsevier, vol. 1(3), pages 179-184.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Tokmachev, Andrey M., 2023. "Hidden scales in statistics of citation indicators," Journal of Informetrics, Elsevier, vol. 17(1).
    2. Deise Deolindo Silva & Maria Cláudia Cabrini Grácio, 2021. "Dispersion measures for h-index: a study of the Brazilian researchers in the field of mathematics," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(3), pages 1983-2011, March.
    3. Wei, Shelia X. & Tong, Tong & Rousseau, Ronald & Wang, Wanru & Ye, Fred Y., 2022. "Relations among the h-, g-, ψ-, and p-index and offset-ability," Journal of Informetrics, Elsevier, vol. 16(4).
    4. Antonis Sidiropoulos & Dimitrios Katsaros & Yannis Manolopoulos, 2015. "Ranking and identifying influential scientists versus mass producers by the Perfectionism Index," Scientometrics, Springer;Akadémiai Kiadó, vol. 103(1), pages 1-31, April.
    5. Fang Lin, 2011. "A study on power-law distribution of hostnames in the URL references," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(1), pages 191-198, July.
    6. Mu-Hsuan Huang & Dar-Zen Chen & Danqi Shen & Mona S. Wang & Fred Y. Ye, 2015. "Measuring technological performance of assignees using trace metrics in three fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 104(1), pages 61-86, July.
    7. Giovanni Abramo & Ciriaco Andrea D’Angelo & Fulvio Viel, 2013. "The suitability of h and g indexes for measuring the research performance of institutions," Scientometrics, Springer;Akadémiai Kiadó, vol. 97(3), pages 555-570, December.

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