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The functional relation between the impact factor and the uncitedness factor revisited

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  • Egghe, L.

Abstract

We give a heuristic proof of the relation between the impact factor (IF) and the uncitedness factor (U), the fraction of the papers that are uncited:U=11+IF

Suggested Citation

  • Egghe, L., 2013. "The functional relation between the impact factor and the uncitedness factor revisited," Journal of Informetrics, Elsevier, vol. 7(1), pages 183-189.
  • Handle: RePEc:eee:infome:v:7:y:2013:i:1:p:183-189
    DOI: 10.1016/j.joi.2012.10.007
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    References listed on IDEAS

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    1. Pietronero, L. & Tosatti, E. & Tosatti, V. & Vespignani, A., 2001. "Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(1), pages 297-304.
    2. Leo Egghe & Raf Guns, 2012. "Applications of the generalized law of Benford to informetric data," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 63(8), pages 1662-1665, August.
    3. 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.
    4. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    5. Leo Egghe, 2000. "A Heuristic Study of the First-Citation Distribution," Scientometrics, Springer;Akadémiai Kiadó, vol. 48(3), pages 345-359, July.
    6. Leo Egghe & Raf Guns, 2012. "Applications of the generalized law of Benford to informetric data," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(8), pages 1662-1665, August.
    7. L. Egghe, 1997. "Price index and its relation to the mean and median reference age," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 48(6), pages 564-573, June.
    8. Leo Egghe, 2008. "The mathematical relation between the impact factor and the uncitedness factor," Scientometrics, Springer;Akadémiai Kiadó, vol. 76(1), pages 117-123, July.
    9. Leo Egghe & Ronald Rousseau, 2012. "The Hirsch index of a shifted Lotka function and its relation with the impact factor," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 63(5), pages 1048-1053, May.
    10. Leo Egghe, 2007. "Untangling Herdan's law and Heaps' law: Mathematical and informetric arguments," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(5), pages 702-709, March.
    11. Leo Egghe & Ronald Rousseau, 2012. "The Hirsch index of a shifted Lotka function and its relation with the impact factor," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(5), pages 1048-1053, May.
    12. Hsu, Jiann-wien & Huang, Ding-wei, 2012. "A scaling between Impact Factor and uncitedness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2129-2134.
    13. Leo Egghe, 2009. "Performance and its relation with productivity in Lotkaian systems," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 567-585, November.
    14. L. Egghe, 2010. "The distribution of the uncitedness factor and its functional relation with the impact factor," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(3), pages 689-695, June.
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    Cited by:

    1. Jeppe Nicolaisen & Tove Faber Frandsen, 2019. "Zero impact: a large-scale study of uncitedness," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(2), pages 1227-1254, May.
    2. Jianhua Hou & Jiantao Ye, 2020. "Are uncited papers necessarily all nonimpact papers? A quantitative analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 124(2), pages 1631-1662, August.
    3. Hu, Zewen & Wu, Yishan, 2014. "Regularity in the time-dependent distribution of the percentage of never-cited papers: An empirical pilot study based on the six journals," Journal of Informetrics, Elsevier, vol. 8(1), pages 136-146.
    4. Lucio Bertoli-Barsotti & Tommaso Lando, 2017. "The h-index as an almost-exact function of some basic statistics," Scientometrics, Springer;Akadémiai Kiadó, vol. 113(2), pages 1209-1228, November.
    5. Burrell, Quentin L., 2013. "A stochastic approach to the relation between the impact factor and the uncitedness factor," Journal of Informetrics, Elsevier, vol. 7(3), pages 676-682.
    6. Thierry Lafouge & Abdellatif Agouzal & Genevieve Lallich, 2015. "The deconstruction of a text: the permanence of the generalized Zipf law—the inter-textual relationship between entropy and effort amount," Scientometrics, Springer;Akadémiai Kiadó, vol. 104(1), pages 193-217, July.
    7. Zewen Hu & Yishan Wu & Jianjun Sun, 2018. "A quantitative analysis of determinants of non-citation using a panel data model," Scientometrics, Springer;Akadémiai Kiadó, vol. 116(2), pages 843-861, August.
    8. Pablo Dorta-González & Rafael Suárez-Vega & María Isabel Dorta-González, 2020. "Open access effect on uncitedness: a large-scale study controlling by discipline, source type and visibility," Scientometrics, Springer;Akadémiai Kiadó, vol. 124(3), pages 2619-2644, September.
    9. Lucio Bertoli-Barsotti & Tommaso Lando, 2017. "A theoretical model of the relationship between the h-index and other simple citation indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 111(3), pages 1415-1448, June.

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