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Paretian publication patterns imply Paretian Hirsch index

Author

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  • Krisztina Barcza

    (Budapest University of Technology and Economics)

  • András Telcs

    (Budapest University of Technology and Economics)

Abstract

The paper pursues the rigorous mathematical study of the Hirsch index and shows that it has power law upper tail distribution and determines the exponent provided that the underlying publication and citation distributions have fat tails as well. The result is demonstrated on the distribution of the Hirsch index of journals. The paper is concluded with some further remarks on the Hirsch index.

Suggested Citation

  • Krisztina Barcza & András Telcs, 2009. "Paretian publication patterns imply Paretian Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 513-519, November.
    • Handle: RePEc:spr:scient:v:81:y:2009:i:2:d:10.1007_s11192-008-2175-8
    DOI: 10.1007/s11192-008-2175-8
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    References listed on IDEAS

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    1. 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.
    2. Jan Beirlant & John H. J. Einmahl, 2010. "Asymptotics for the Hirsch Index," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 37(3), pages 355-364, September.
    3. Schubert, András & Glänzel, Wolfgang, 2007. "A systematic analysis of Hirsch-type indices for journals," Journal of Informetrics, Elsevier, vol. 1(3), pages 179-184.
    4. András Schubert, 2007. "Successive h-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 70(1), pages 201-205, January.
    5. Beirlant, J. & Einmahl, J.H.J., 2007. "Asymptotics for the Hirsch Index," Other publications TiSEM 2670b5ef-bb04-4ce8-82b2-7, Tilburg University, School of Economics and Management.
    6. Tibor Braun & Wolfgang Glänzel & András Schubert, 2006. "A Hirsch-type index for journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 169-173, October.
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    Cited by:

    1. J. Martin Zyl, 2013. "The generalized Pareto distribution fitted to research outputs of countries," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(3), pages 1099-1109, March.
    2. Zhai, Li & Yan, Xiangbin & Zhang, Guojing, 2013. "A centrality measure for communication ability in weighted network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6107-6117.
    3. Baccini, A. & Barabesi, L. & Marcheselli, M. & Pratelli, L., 2012. "Statistical inference on the h-index with an application to top-scientist performance," Journal of Informetrics, Elsevier, vol. 6(4), pages 721-728.
    4. 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.
    5. Wolfgang Glänzel, 2010. "The role of the h-index and the characteristic scores and scales in testing the tail properties of scientometric distributions," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(3), pages 697-709, June.
    6. Wolfgang Glänzel, 2012. "The role of core documents in bibliometric network analysis and their relation with h-type indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(1), pages 113-123, October.
    7. Biró, Tamás S. & Telcs, András & Józsa, Máté & Néda, Zoltán, 2023. "Gintropic scaling of scientometric indexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    8. Wolfgang Glänzel & Henk F. Moed, 2013. "Opinion paper: thoughts and facts on bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(1), pages 381-394, July.
    9. Li Zhai & Xiangbin Yan & Bin Zhu, 2014. "The H l -index: improvement of H-index based on quality of citing papers," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(2), pages 1021-1031, February.
    10. Yan, Xiangbin & Zhai, Li & Fan, Weiguo, 2013. "C-index: A weighted network node centrality measure for collaboration competence," Journal of Informetrics, Elsevier, vol. 7(1), pages 223-239.

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