The repeat rate: from Hirschman to Stirling
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In this short note we recall the history and definition of the repeat rate, also known as the Hirschman–Herfindahl index or as the Simpson index, and show that its generalization to a measure that includes disparity between items, known as the Rao-Stirling index, or a monotone transformation of it, is an acceptable diversity measure which, however, does not meet the ‘monotonicity of balance’ requirement.
KeywordsRepeat rate Hirschman index Simpson index Herfindahl index Rao-Stirling index Measuring diversity Interdisciplinarity
We thank Loet Leydesdorff for helpful observations about an earlier version of this note.
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