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The nth-citation distribution and obsolescence

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  • Quentin L. Burrell

Abstract

The stochastic model proposed recently by the author to describe the citation process in the presence of obsolescence is further investigated to illustrate the nth-citation distribution and the distribution of the total number of citations. The particular case where the latent rate has a gamma distribution is analysed in detail and is shown to be able to agree well with empirical data.

Suggested Citation

  • Quentin L. Burrell, 2002. "The nth-citation distribution and obsolescence," Scientometrics, Springer;Akadémiai Kiadó, vol. 53(3), pages 309-323, March.
    • Handle: RePEc:spr:scient:v:53:y:2002:i:3:d:10.1023_a:1014816911511
    DOI: 10.1023/A:1014816911511
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    References listed on IDEAS

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    1. Leo Egghe, 2000. "A Heuristic Study of the First-Citation Distribution," Scientometrics, Springer;Akadémiai Kiadó, vol. 48(3), pages 345-359, July.
    2. H. S. Sichel, 1985. "A bibliometric distribution which really works," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 36(5), pages 314-321, September.
    3. Quentin L. Burrel, 2001. "Stochastic modelling of the first-citation distribution," Scientometrics, Springer;Akadémiai Kiadó, vol. 52(1), pages 3-12, September.
    4. Quentin L. Burrell, 1990. "Using the Gamma‐Poisson model to predict library circulations," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 41(3), pages 164-170, April.
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    Cited by:

    1. Leo Egghe, 2007. "Probabilities for encountering genius, basic, ordinary or insignificant papers based on the cumulative nth citation distribution," Scientometrics, Springer;Akadémiai Kiadó, vol. 70(1), pages 167-181, January.
    2. Wang, Mingyang & Yu, Guang & Xu, Jianzhong & He, Huixin & Yu, Daren & An, Shuang, 2012. "Development a case-based classifier for predicting highly cited papers," Journal of Informetrics, Elsevier, vol. 6(4), pages 586-599.
    3. Pablo Dorta-González & Emilio Gómez-Déniz, 2022. "Modeling the obsolescence of research literature in disciplinary journals through the age of their cited references," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(6), pages 2901-2931, June.
    4. Saralees Nadarajah & Samuel Kotz, 2007. "Models for citation behavior," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(2), pages 291-305, August.
    5. Fiorenzo Franceschini & Domenico Maisano, 2011. "Bibliometric positioning of scientific manufacturing journals: a comparative analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 86(2), pages 463-485, February.
    6. J Mingers, 2008. "Exploring the dynamics of journal citations: Modelling with s-curves," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(8), pages 1013-1025, August.
    7. José Luis Ortega & Viv Cothey & Isidro F. Aguillo, 2009. "How old is the Web? Characterizing the age and the currency of the European scientific Web," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(1), pages 295-309, October.
    8. Wallace, Matthew L. & Larivière, Vincent & Gingras, Yves, 2009. "Modeling a century of citation distributions," Journal of Informetrics, Elsevier, vol. 3(4), pages 296-303.
    9. Mingers, John & Leydesdorff, Loet, 2015. "A review of theory and practice in scientometrics," European Journal of Operational Research, Elsevier, vol. 246(1), pages 1-19.
    10. Glänzel, Wolfgang, 2010. "On reliability and robustness of scientometrics indicators based on stochastic models. An evidence-based opinion paper," Journal of Informetrics, Elsevier, vol. 4(3), pages 313-319.
    11. Hamid Bouabid & Vincent Larivière, 2013. "The lengthening of papers’ life expectancy: a diachronous analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 97(3), pages 695-717, December.
    12. Cristina López-Duarte & Marta M. Vidal-Suárez & Belén González-Díaz, 2019. "Cross-national distance and international business: an analysis of the most influential recent models," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(1), pages 173-208, October.
    13. Aaron Lercher & Lawrence Smolinsky, 2016. "Persistent value of older scientific journal articles," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(3), pages 1205-1220, September.
    14. 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.
    15. 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.
    16. Burrell, Quentin L., 2007. "Hirsch's h-index: A stochastic model," Journal of Informetrics, Elsevier, vol. 1(1), pages 16-25.
    17. Bar-Ilan, Judit, 2008. "Informetrics at the beginning of the 21st century—A review," Journal of Informetrics, Elsevier, vol. 2(1), pages 1-52.
    18. Jianjun Sun & Chao Min & Jiang Li, 2016. "A vector for measuring obsolescence of scientific articles," Scientometrics, Springer;Akadémiai Kiadó, vol. 107(2), pages 745-757, May.
    19. Mingyang Wang & Guang Yu & Shuang An & Daren Yu, 2012. "Discovery of factors influencing citation impact based on a soft fuzzy rough set model," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(3), pages 635-644, December.
    20. Lee, Changyong & Cho, Yangrae & Seol, Hyeonju & Park, Yongtae, 2012. "A stochastic patent citation analysis approach to assessing future technological impacts," Technological Forecasting and Social Change, Elsevier, vol. 79(1), pages 16-29.
    21. Quentin L. Burrell, 2014. "The individual author’s publication–citation process: theory and practice," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(1), pages 725-742, January.
    22. 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.
    23. Mingyang Wang & Shi Li & Guangsheng Chen, 2017. "Detecting latent referential articles based on their vitality performance in the latest 2 years," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(3), pages 1557-1571, September.
    24. Jang, Hyun Jin & Woo, Han-Gyun & Lee, Changyong, 2017. "Hawkes process-based technology impact analysis," Journal of Informetrics, Elsevier, vol. 11(2), pages 511-529.
    25. 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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