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The stochastic h-index

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  • Nair, Gopalan M.
  • Turlach, Berwin A.

Abstract

A variant of the h-index, named the stochastic h-index, is proposed. This new index is obtained by adding to the h-index the probability, under a specific stochastic model, that the h-index will increase by one or more within a given time interval. The stochastic h-index thus extends the h-index to the real line and has a direct interpretation as the distance to the next higher index value. We show how the stochastic h-index can be evaluated and compare it with other variants of the h-index which purportedly indicate the distance to a higher h-index.

Suggested Citation

  • Nair, Gopalan M. & Turlach, Berwin A., 2012. "The stochastic h-index," Journal of Informetrics, Elsevier, vol. 6(1), pages 80-87.
    • Handle: RePEc:eee:infome:v:6:y:2012:i:1:p:80-87
    DOI: 10.1016/j.joi.2011.09.006
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    References listed on IDEAS

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    1. Quentin L. Burrell, 2002. "Will this paper ever be cited?," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 53(3), pages 232-235.
    2. Guns, Raf & Rousseau, Ronald, 2009. "Real and rational variants of the h-index and the g-index," Journal of Informetrics, Elsevier, vol. 3(1), pages 64-71.
    3. Marek Gągolewski & Przemysław Grzegorzewski, 2009. "A geometric approach to the construction of scientific impact indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 617-634, December.
    4. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    5. Burrell, Quentin L., 2007. "Hirsch's h-index: A stochastic model," Journal of Informetrics, Elsevier, vol. 1(1), pages 16-25.
    6. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.
    7. Quentin L. Burrell, 2007. "Hirsch index or Hirsch rate? Some thoughts arising from Liang’s data," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(1), pages 19-28, October.
    8. 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.
    9. Frances Ruane & Richard S. J. Tol, 2008. "Rational (successive) h-indices: An application to economics in the Republic of Ireland," Scientometrics, Springer;Akadémiai Kiadó, vol. 75(2), pages 395-405, May.
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    Cited by:

    1. Chen, Dar-zen & Huang, Mu-hsuan & Ye, Fred Y., 2013. "A probe into dynamic measures for h-core and h-tail," Journal of Informetrics, Elsevier, vol. 7(1), pages 129-137.
    2. Gagolewski, Marek, 2013. "Scientific impact assessment cannot be fair," Journal of Informetrics, Elsevier, vol. 7(4), pages 792-802.
    3. Javier E., Contreras-Reyes, 2016. "Credit allocation based on journal impact factor and coauthorship contribution," MPRA Paper 71294, University Library of Munich, Germany.
    4. Gagolewski, Marek & Mesiar, Radko, 2012. "Aggregating different paper quality measures with a generalized h-index," Journal of Informetrics, Elsevier, vol. 6(4), pages 566-579.
    5. Javier E. CONTRERAS-REYES, 2016. "Credit Allocation Based on Journal Impact Factor and Co-authorship Contribution," Journal of Social and Administrative Sciences, KSP Journals, vol. 3(2), pages 111-118, June.
    6. Javier E. Contreras-Reyes, 2016. "Credit allocation based on journal impact factor and coauthorship contribution," Papers 1606.04139, arXiv.org.

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