IDEAS home Printed from https://ideas.repec.org/a/eee/infome/v8y2014i4p972-984.html
   My bibliography  Save this article

Distributions of citations of papers of individual authors publishing in different scientific disciplines: Application of Langmuir-type function

Author

Listed:
  • Sangwal, Keshra

Abstract

The distribution of cumulative citations L and contributed citations Lf to individual multiauthored papers published by selected authors working in different scientific disciplines is analyzed and discussed using Langmuir-type function: yn=y0[1−αKn/(1+Kn)], where yn denotes the total number of normalized cumulative citations ln* and normalized contributed citations lnf* received by individual papers of rank n, y0 is the maximum value of yn when n=0, α≥1 is an effectiveness parameter, and K is the Langmuir constant related to the dimensionless differential energy Q=ln(KNc), with Nc as the number of papers receiving citations. Relationships between the values of the Langmuir constant K of the distribution function, the number Nc of papers of an individual author receiving citations and the effectiveness parameter α of this function, obtained from analysis of the data of rank-size distributions of the authors, are investigated. It was found that: (1) the quantity KNc obtained from the real citation distribution of papers of various authors working in different disciplines is inversely proportional to (α−1) with a proportional constant (KNc)0<1, (2) the relation KNc=(KNc)0/(α−1) also holds for the citation distribution of journals published in countries of two different groups, investigated earlier (Sangwal, K. (2013). Journal of Informetrics, 7, 487–504), and (3) deviations of the real citation distribution from curves predicted by the Langmuir-type function are associated with changing activity of sources of generation of items (citations).

Suggested Citation

  • 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.
    • Handle: RePEc:eee:infome:v:8:y:2014:i:4:p:972-984
    DOI: 10.1016/j.joi.2014.09.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S175115771400090X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.joi.2014.09.009?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Igor Podlubny, 2005. "Comparison of scientific impact expressed by the number of citations in different fields of science," Scientometrics, Springer;Akadémiai Kiadó, vol. 64(1), pages 95-99, July.
    2. Mansilla, R. & Köppen, E. & Cocho, G. & Miramontes, P., 2007. "On the behavior of journal impact factor rank-order distribution," Journal of Informetrics, Elsevier, vol. 1(2), pages 155-160.
    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. Hildrun Kretschmer & Ronald Rousseau, 2001. "Author inflation leads to a breakdown of Lotka's law," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 52(8), pages 610-614.
    5. Sangwal, Keshra, 2013. "Citation and impact factor distributions of scientific journals published in individual countries," Journal of Informetrics, Elsevier, vol. 7(2), pages 487-504.
    6. Burrell, Quentin L., 2013. "The h-index: A case of the tail wagging the dog?," Journal of Informetrics, Elsevier, vol. 7(4), pages 774-783.
    7. Richard S. J. Tol, 2011. "Credit where credit’s due: accounting for co-authorship in citation counts," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(1), pages 291-299, October.
    8. Juan E. Iglesias & Carlos Pecharromán, 2007. "Scaling the h-index for different scientific ISI fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(3), pages 303-320, December.
    9. Pablo D. Batista & Mônica G. Campiteli & Osame Kinouchi, 2006. "Is it possible to compare researchers with different scientific interests?," Scientometrics, Springer;Akadémiai Kiadó, vol. 68(1), pages 179-189, July.
    10. Bárbara S. Lancho-Barrantes & Vicente P. Guerrero-Bote & Félix Moya-Anegón, 2010. "The iceberg hypothesis revisited," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(2), pages 443-461, November.
    11. Perc, Matjaž, 2010. "Zipf’s law and log-normal distributions in measures of scientific output across fields and institutions: 40 years of Slovenia’s research as an example," Journal of Informetrics, Elsevier, vol. 4(3), pages 358-364.
    12. Wallace, Matthew L. & Larivière, Vincent & Gingras, Yves, 2009. "Modeling a century of citation distributions," Journal of Informetrics, Elsevier, vol. 3(4), pages 296-303.
    13. L. Egghe, 2011. "The impact factor rank-order distribution revisited," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(3), pages 683-685, June.
    14. Abramo, Giovanni & Cicero, Tindaro & D’Angelo, Ciriaco Andrea, 2012. "Revisiting the scaling of citations for research assessment," Journal of Informetrics, Elsevier, vol. 6(4), pages 470-479.
    15. Vicente P. Guerrero-Bote & Felipe Zapico-Alonso & María Eugenia Espinosa-Calvo & Rocío Gómez-Crisóstomo & Félix Moya-Anegón, 2007. "Import-export of knowledge between scientific subject categories: The iceberg hypothesis," Scientometrics, Springer;Akadémiai Kiadó, vol. 71(3), pages 423-441, June.
    16. Lundberg, Jonas, 2007. "Lifting the crown—citation z-score," Journal of Informetrics, Elsevier, vol. 1(2), pages 145-154.
    17. Saralees Nadarajah & Samuel Kotz, 2007. "Models for citation behavior," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(2), pages 291-305, August.
    18. 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.
    19. Vieira, E.S. & Gomes, J.A.N.F., 2010. "Citations to scientific articles: Its distribution and dependence on the article features," Journal of Informetrics, Elsevier, vol. 4(1), pages 1-13.
    20. Gupta, Hari M. & Campanha, José R. & Schinaider, Sidney J., 2008. "Size limiting in Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6745-6751.
    21. Mikhail V. Simkin & Vwani P. Roychowdhury, 2007. "A mathematical theory of citing," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(11), pages 1661-1673, September.
    22. 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.
    23. AntÔnio F. Pereira De Araújo, 2008. "Increasing discrepancy between absolute and effective indexes of research output in a Brazilian academic department," Scientometrics, Springer;Akadémiai Kiadó, vol. 74(3), pages 425-437, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Sangwal, Keshra, 2013. "Citation and impact factor distributions of scientific journals published in individual countries," Journal of Informetrics, Elsevier, vol. 7(2), pages 487-504.
    3. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2015. "On a formula for the h-index," Journal of Informetrics, Elsevier, vol. 9(4), pages 762-776.
    4. Zhihui Zhang & Ying Cheng & Nian Cai Liu, 2015. "Improving the normalization effect of mean-based method from the perspective of optimization: optimization-based linear methods and their performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(1), pages 587-607, January.
    5. Waltman, Ludo, 2016. "A review of the literature on citation impact indicators," Journal of Informetrics, Elsevier, vol. 10(2), pages 365-391.
    6. Hyeonchae Yang & Woo-Sung Jung, 2015. "A strategic management approach for Korean public research institutes based on bibliometric investigation," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(4), pages 1437-1464, July.
    7. C. O. S. Sorzano & J. Vargas & G. Caffarena-Fernández & A. Iriarte, 2014. "Comparing scientific performance among equals," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(3), pages 1731-1745, December.
    8. Lorna Wildgaard & Jesper W. Schneider & Birger Larsen, 2014. "A review of the characteristics of 108 author-level bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(1), pages 125-158, October.
    9. Eva Lillquist & Sheldon Green, 2010. "The discipline dependence of citation statistics," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(3), pages 749-762, September.
    10. Abramo, Giovanni & Cicero, Tindaro & D’Angelo, Ciriaco Andrea, 2012. "How important is choice of the scaling factor in standardizing citations?," Journal of Informetrics, Elsevier, vol. 6(4), pages 645-654.
    11. Kakushadze, Zura, 2016. "An index for SSRN downloads," Journal of Informetrics, Elsevier, vol. 10(1), pages 9-28.
    12. Wallace, Matthew L. & Larivière, Vincent & Gingras, Yves, 2009. "Modeling a century of citation distributions," Journal of Informetrics, Elsevier, vol. 3(4), pages 296-303.
    13. Juan Miguel Campanario, 2018. "Are leaders really leading? Journals that are first in Web of Science subject categories in the context of their groups," Scientometrics, Springer;Akadémiai Kiadó, vol. 115(1), pages 111-130, April.
    14. Maziar Montazerian & Edgar Dutra Zanotto & Hellmut Eckert, 2019. "A new parameter for (normalized) evaluation of H-index: countries as a case study," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(3), pages 1065-1078, March.
    15. Bárbara S. Lancho-Barrantes & Vicente P. Guerrero-Bote & Félix Moya-Anegón, 2010. "The iceberg hypothesis revisited," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(2), pages 443-461, November.
    16. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2019. "How mean rank and mean size may determine the generalised Lorenz curve: With application to citation analysis," Journal of Informetrics, Elsevier, vol. 13(1), pages 387-396.
    17. James C. Ryan, 2016. "A validation of the individual annual h-index (hIa): application of the hIa to a qualitatively and quantitatively different sample," Scientometrics, Springer;Akadémiai Kiadó, vol. 109(1), pages 577-590, October.
    18. Tol, Richard S.J., 2013. "The Matthew effect for cohorts of economists," Journal of Informetrics, Elsevier, vol. 7(2), pages 522-527.
    19. Vicente P. Guerrero-Bote & Félix Moya-Anegón, 2014. "Relationship between downloads and citations at journal and paper levels, and the influence of language," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(2), pages 1043-1065, November.
    20. Lina M. Cortés & Andrés Mora-Valencia & Javier Perote, 2016. "The productivity of top researchers: a semi-nonparametric approach," Scientometrics, Springer;Akadémiai Kiadó, vol. 109(2), pages 891-915, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:infome:v:8:y:2014:i:4:p:972-984. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/joi .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.