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Definitions of time series in citation analysis with special attention to the h-index

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  • Liu, Yuxian
  • Rousseau, Ronald

Abstract

The structure of different types of time series in citation analysis is revealed, using an adapted form of the Frandsen–Rousseau notation. Special cases where this approach can be used include time series of impact factors and time series of h-indices, or h-type indices. This leads to a tool describing dynamic aspects of citation analysis. Time series of h-indices are calculated in some specific models.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:infome:v:2:y:2008:i:3:p:202-210
    DOI: 10.1016/j.joi.2008.04.003
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    References listed on IDEAS

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    1. Philip Hans Franses, 2003. "The diffusion of scientific publications: The case of Econometrica, 1987," Scientometrics, Springer;Akadémiai Kiadó, vol. 56(1), pages 29-42, January.
    2. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    3. Tove Faber Frandsen & Ronald Rousseau, 2005. "Article impact calculated over arbitrary periods," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 56(1), pages 58-62, January.
    4. Quentin L. Burrell, 2007. "Hirsch index or Hirsch rate? Some thoughts arising from Liang’s data," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(1), pages 19-28, October.
    5. Thomas R. Anderson & Robin K. S. Hankin & Peter D. Killworth, 2008. "Beyond the Durfee square: Enhancing the h-index to score total publication output," Scientometrics, Springer;Akadémiai Kiadó, vol. 76(3), pages 577-588, September.
    6. Liming Liang, 2006. "h-index sequence and h-index matrix: Constructions and applications," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 153-159, October.
    7. Leo Egghe & Liming Liang & Ronald Rousseau, 2008. "Fundamental properties of rhythm sequences," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(9), pages 1469-1478, July.
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    Citations

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    Cited by:

    1. Dilruba Mahbuba & Ronald Rousseau, 2013. "Year-based h-type indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(3), pages 785-797, September.
    2. Leo Egghe, 2009. "Comparative study of h-index sequences," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 311-320, November.
    3. Adams, Jonathan, 2018. "Information and misinformation in bibliometric time-trend analysis," Journal of Informetrics, Elsevier, vol. 12(4), pages 1063-1071.
    4. 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.
    5. Finardi, Ugo, 2014. "On the time evolution of received citations, in different scientific fields: An empirical study," Journal of Informetrics, Elsevier, vol. 8(1), pages 13-24.
    6. Yuxian Liu & I. K. Ravichandra Rao & Ronald Rousseau, 2009. "Empirical series of journal h-indices: The JCR category Horticulture as a case study," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(1), pages 59-74, July.
    7. 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.
    8. 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.
    9. Liu, Joan Q. & Rousseau, Ronald & Wang, Mona S. & Ye, Fred Y., 2013. "Ratios of h-cores, h-tails and uncited sources in sets of scientific papers and technical patents," Journal of Informetrics, Elsevier, vol. 7(1), pages 190-197.
    10. Dilruba Mahbuba & Ronald Rousseau, 2010. "Scientific research in the Indian subcontinent: selected trends and indicators 1973–2007 comparing Bangladesh, Pakistan and Sri Lanka with India, the local giant," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(2), pages 403-420, August.
    11. 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.
    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. Samuel Bjork & Avner Offer & Gabriel Söderberg, 2014. "Time series citation data: the Nobel Prize in economics," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(1), pages 185-196, January.
    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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