A new family of old Hirsch index variants |
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Authors: | Michael Schreiber |
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Institution: | 1. Department of Radiation Oncology, Division of Medical Oncology, University of Colorado School of Medicine, Aurora, Colorado;2. Department of Internal Medicine, Division of Medical Oncology, University of Colorado School of Medicine, Aurora, Colorado |
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Abstract: | The Hirsch index h and the g index proposed by Egghe as well as the f index and the t index proposed by Tol are shown to be special cases of a family of Hirsch index variants, based on the generalized mean with exponent p. Inequalities between the different indices are derived from the generalized mean inequality. The graphical determination of the indices is shown for one example. |
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