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The role of the h-index and the characteristic scores and scales in testing the tail properties of scientometric distributions

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  • Wolfgang Glänzel

    (K.U. Leuven
    Hungarian Academy of Sciences, IRPS)

Abstract

The tail properties of scientometric distributions are studied in the light of the h-index and the characteristic scores and scales. A statistical test for the h-core is presented and illustrated using the example of four selected authors. Finally, the mathematical relationship between the h-index and characteristic scores and scales is analysed. The results give new insights into important properties of rank-frequency and extreme-value statistics derived from scientometric and informetric processes.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:scient:v:83:y:2010:i:3:d:10.1007_s11192-009-0124-9
    DOI: 10.1007/s11192-009-0124-9
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    References listed on IDEAS

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    1. Krisztina Barcza & András Telcs, 2009. "Paretian publication patterns imply Paretian Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(2), pages 513-519, November.
    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. András Schubert & András Telcs, 1989. "Estimation of the publication potential in 50 U.S. states and in the District of Columbia based on the frequency distribution of scientific productivity," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 40(4), pages 291-297, July.
    4. Olle Persson & Wolfgang Glänzel & Rickard Danell, 2004. "Inflationary bibliometric values: The role of scientific collaboration and the need for relative indicators in evaluative studies," Scientometrics, Springer;Akadémiai Kiadó, vol. 60(3), pages 421-432, August.
    5. Schubert, András & Glänzel, Wolfgang, 2007. "A systematic analysis of Hirsch-type indices for journals," Journal of Informetrics, Elsevier, vol. 1(3), pages 179-184.
    6. Burrell, Quentin L., 2007. "On the h-index, the size of the Hirsch core and Jin's A-index," Journal of Informetrics, Elsevier, vol. 1(2), pages 170-177.
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    Cited by:

    1. Giancarlo Ruocco & Cinzia Daraio, 2013. "An empirical approach to compare the performance of heterogeneous academic fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 97(3), pages 601-625, December.
    2. Cinzia Daraio & Giancarlo Ruocco, 2012. "An Empirical Approach to Compare the Performance of Heterogeneous Academic Fields," DIAG Technical Reports 2012-03, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".

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