Statistical Hypothesis Test for the Difference between Hirsch Indices of Two Pareto-Distributed Random Samples

  • Marek Gagolewski
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 190)


In this paper we discuss the construction of a new parametric statistical hypothesis test for the equality of probability distributions. The test bases on the difference between Hirsch’s h-indices of two equal-length i.i.d. random samples. For the sake of illustration, we analyze its power in case of Pareto-distributed input data. It turns out that the test is very conservative and has wide acceptance regions, which puts in question the appropriateness of the h-index usage in scientific quality control and decision making.


Aggregation operators Hirsch index hypotheses testing scientometrics 


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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Systems Research InstitutePolish Academy of SciencesWarsawPoland
  2. 2.Faculty of Mathematics and Information ScienceWarsaw University of TechnologyWarsawPoland

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