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Models for citation behavior

Author

Listed:
  • Saralees Nadarajah

    (University of Manchester)

  • Samuel Kotz

    (George Washington University)

Abstract

The number of citations of journal papers is an important measure of the impact of research. Thus, the modeling of citation behavior needs attention. Burrell, Egghe, Rousseau and others pioneered this type of modeling. Several models have been proposed for the citation distribution. In this note, we derive the most comprehensive collection of formulas for the citation distribution, covering some 17 flexible families. The corresponding estimation procedures are also derived by the method of moments. We feel that this work could serve as a useful reference for the modeling of citation behavior.

Suggested Citation

  • Saralees Nadarajah & Samuel Kotz, 2007. "Models for citation behavior," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(2), pages 291-305, August.
    • Handle: RePEc:spr:scient:v:72:y:2007:i:2:d:10.1007_s11192-007-1717-9
    DOI: 10.1007/s11192-007-1717-9
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    References listed on IDEAS

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    1. Thed N. van Leeuwen & Henk F. Moed, 2005. "Characteristics of journal impact factors: The effects of uncitedness and citation distribution on the understanding of journal impact factors," Scientometrics, Springer;Akadémiai Kiadó, vol. 63(2), pages 357-371, April.
    2. Leo Egghe, 2000. "A Heuristic Study of the First-Citation Distribution," Scientometrics, Springer;Akadémiai Kiadó, vol. 48(3), pages 345-359, July.
    3. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
    4. Quentin L. Burrell, 2002. "Will this paper ever be cited?," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 53(3), pages 232-235.
    5. Thed N. Van Leeuwen & Martijn S. Visser & Henk F. Moed & Ton J. Nederhof & Anthony F. J. Van Raan, 2003. "The Holy Grail of science policy: Exploring and combining bibliometric tools in search of scientific excellence," Scientometrics, Springer;Akadémiai Kiadó, vol. 57(2), pages 257-280, June.
    6. Henk F. Moed, 2005. "Statistical relationships between downloads and citations at the level of individual documents within a single journal," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 56(10), pages 1088-1097, August.
    7. Leo Egghe, 2001. "A heuristic study of the first-citation distribution," Scientometrics, Springer;Akadémiai Kiadó, vol. 50(2), pages 363-363, February.
    8. Quentin L. Burrell, 2005. "Are “Sleeping Beauties” to be expected?," Scientometrics, Springer;Akadémiai Kiadó, vol. 65(3), pages 381-389, December.
    9. Leo Egghe & Ronald Rousseau, 2000. "Aging, obsolescence, impact, growth, and utilization: Definitions and relations," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 51(11), pages 1004-1017.
    10. Quentin L. Burrell, 2002. "The nth-citation distribution and obsolescence," Scientometrics, Springer;Akadémiai Kiadó, vol. 53(3), pages 309-323, March.
    11. Quentin L. Burrel, 2001. "Stochastic modelling of the first-citation distribution," Scientometrics, Springer;Akadémiai Kiadó, vol. 52(1), pages 3-12, September.
    12. Quentin L. Burrell, 2002. "Modelling citation age data: Simple graphical methods from reliability theory," Scientometrics, Springer;Akadémiai Kiadó, vol. 55(2), pages 273-285, August.
    13. van Raan, Anthony F.J., 2001. "Two-step competition process leads to quasi power-law income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 298(3), pages 530-536.
    14. Leo Egghe & I. K. R. Ravichandra Rao, 2002. "Theory and experimentation on the most-recent-reference distribution," Scientometrics, Springer;Akadémiai Kiadó, vol. 53(3), pages 371-387, March.
    15. Guang Yu & Xiao-Hong Wang & Da-Ren Yu, 2005. "The influence of publication delays on impact factors," Scientometrics, Springer;Akadémiai Kiadó, vol. 64(2), pages 235-246, August.
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    Cited by:

    1. Sangwal, Keshra, 2015. "On the growth dynamics of citations of articles by some Nobel Prize winners," Journal of Informetrics, Elsevier, vol. 9(3), pages 466-476.
    2. Sangwal, Keshra, 2013. "Comparison of different mathematical functions for the analysis of citation distribution of papers of individual authors," Journal of Informetrics, Elsevier, vol. 7(1), pages 36-49.
    3. Sangwal, Keshra, 2014. "Distributions of citations of papers of individual authors publishing in different scientific disciplines: Application of Langmuir-type function," Journal of Informetrics, Elsevier, vol. 8(4), pages 972-984.
    4. Wallace, Matthew L. & Larivière, Vincent & Gingras, Yves, 2009. "Modeling a century of citation distributions," Journal of Informetrics, Elsevier, vol. 3(4), pages 296-303.
    5. Hamid Bouabid, 2011. "Revisiting citation aging: a model for citation distribution and life-cycle prediction," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(1), pages 199-211, July.

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