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The power law model and total career h-index sequences

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  • Ye, Fred Y.
  • Rousseau, Ronald

Abstract

Three variations on the power law model proposed by Egghe are fitted to four groups of h-index time series: publication-citation data for authors, journals and universities; and patent citation data for firms. It is shown that none of the power law models yields an adequate description of total career h-index sequences.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:infome:v:2:y:2008:i:4:p:288-297
    DOI: 10.1016/j.joi.2008.09.002
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    References listed on IDEAS

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    1. Lutz Bornmann & Rüdiger Mutz & Hans‐Dieter Daniel, 2008. "Are there better indices for evaluation purposes than the h index? A comparison of nine different variants of the h index using data from biomedicine," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(5), pages 830-837, March.
    2. Burrell, Quentin L., 2007. "Hirsch's h-index: A stochastic model," Journal of Informetrics, Elsevier, vol. 1(1), pages 16-25.
    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. Schubert, András & Glänzel, Wolfgang, 2007. "A systematic analysis of Hirsch-type indices for journals," Journal of Informetrics, Elsevier, vol. 1(3), pages 179-184.
    5. 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.
    6. 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.
    7. Liming Liang, 2006. "h-index sequence and h-index matrix: Constructions and applications," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 153-159, October.
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    Citations

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    Cited by:

    1. Liu, Yu & Yang, Yongliang, 2014. "Empirical study of L-Sequence: The basic h-index sequence for cumulative publications with consideration of the yearly citation performance," Journal of Informetrics, Elsevier, vol. 8(3), pages 478-485.
    2. Cabrerizo, F.J. & Alonso, S. & Herrera-Viedma, E. & Herrera, F., 2010. "q2-Index: Quantitative and qualitative evaluation based on the number and impact of papers in the Hirsch core," Journal of Informetrics, Elsevier, vol. 4(1), pages 23-28.
    3. Zehra Taşkın, 2021. "Forecasting the future of library and information science and its sub-fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(2), pages 1527-1551, February.
    4. Melika Mosleh & Saeed Roshani & Mario Coccia, 2022. "Scientific laws of research funding to support citations and diffusion of knowledge in life science," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(4), pages 1931-1951, April.
    5. Guillermo Armando Ronda-Pupo & J. Sylvan Katz, 2018. "The power law relationship between citation impact and multi-authorship patterns in articles in Information Science & Library Science journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(3), pages 919-932, March.
    6. Wu, Jiang & Lozano, Sergi & Helbing, Dirk, 2011. "Empirical study of the growth dynamics in real career h-index sequences," Journal of Informetrics, Elsevier, vol. 5(4), pages 489-497.
    7. Wumei Du & Zheng Xie & Yiqin Lv, 2021. "Predicting publication productivity for authors: Shallow or deep architecture?," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 5855-5879, July.
    8. Guillermo Armando Ronda-Pupo & J. Sylvan Katz, 2017. "The scaling relationship between degree centrality of countries and their citation-based performance on Management Information Systems," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(3), pages 1285-1299, September.
    9. 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.
    10. Guillermo Armando Ronda-Pupo, 2017. "The citation-based impact of complex innovation systems scales with the size of the system," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(1), pages 141-151, July.
    11. Saeed Roshani & Mohammad-Reza Bagherylooieh & Melika Mosleh & Mario Coccia, 2021. "What is the relationship between research funding and citation-based performance? A comparative analysis between critical disciplines," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(9), pages 7859-7874, September.
    12. Rousseau, Ronald & Hu, Xiaojun, 2013. "Two time series, their meaning and some applications," Journal of Informetrics, Elsevier, vol. 7(3), pages 603-610.
    13. 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.
    14. Fred Y. Ye, 2009. "An investigation on mathematical models of the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 493-498, November.
    15. Alonso, S. & Cabrerizo, F.J. & Herrera-Viedma, E. & Herrera, F., 2009. "h-Index: A review focused in its variants, computation and standardization for different scientific fields," Journal of Informetrics, Elsevier, vol. 3(4), pages 273-289.

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