The generalized Pareto distribution fitted to research outputs of countries

  • Authors:
  • J. Martin Zyl

  • Affiliations:
  • Department of Mathematical Statistics and Actuarial Science, University of the Free State, Bloemfontein, South Africa

  • Venue:
  • Scientometrics
  • Year:
  • 2013

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Abstract

It is shown that the generalized Pareto distribution gives a good fit to citable documents, citations above a threshold and also for the h-index of countries. The h-index has a finite second moment, while the citable documents and citations are extremely heavy tailed with the estimated index of citations less than one. The relationship derived between the h-index, citation and number of publications is also investigated and the model proposed by Glänzel confirmed empirically.