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The repeat rate: from Hirschman to Stirling

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  • Ronald Rousseau

    (University of Antwerp
    KU Leuven)

Abstract

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.

Suggested Citation

  • Ronald Rousseau, 2018. "The repeat rate: from Hirschman to Stirling," Scientometrics, Springer;Akadémiai Kiadó, vol. 116(1), pages 645-653, July.
    • Handle: RePEc:spr:scient:v:116:y:2018:i:1:d:10.1007_s11192-018-2724-8
    DOI: 10.1007/s11192-018-2724-8
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    References listed on IDEAS

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    1. Loet Leydesdorff & Caroline S. Wagner & Lutz Bornmann, 2018. "Betweenness and diversity in journal citation networks as measures of interdisciplinarity—A tribute to Eugene Garfield," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(2), pages 567-592, February.
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    4. Lin Zhang & Ronald Rousseau & Wolfgang Glänzel, 2016. "Diversity of references as an indicator of the interdisciplinarity of journals: Taking similarity between subject fields into account," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 67(5), pages 1257-1265, May.
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    2. Ugo Moschini & Elena Fenialdi & Cinzia Daraio & Giancarlo Ruocco & Elisa Molinari, 2020. "A comparison of three multidisciplinarity indices based on the diversity of Scopus subject areas of authors’ documents, their bibliography and their citing papers," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(2), pages 1145-1158, November.
    3. Loet Leydesdorff & Inga Ivanova, 2021. "The measurement of “interdisciplinarity” and “synergy” in scientific and extra‐scientific collaborations," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 72(4), pages 387-402, April.
    4. Seolmin Yang & So Young Kim, 2023. "Knowledge-integrated research is more disruptive when supported by homogeneous funding sources: a case of US federally funded research in biomedical and life sciences," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(6), pages 3257-3282, June.
    5. Xiaojing Cai & Xiaozan Lyu & Ping Zhou, 2023. "The relationship between interdisciplinarity and citation impact—a novel perspective on citation accumulation," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-12, December.
    6. Loet Leydesdorff, 2018. "Diversity and interdisciplinarity: how can one distinguish and recombine disparity, variety, and balance?," Scientometrics, Springer;Akadémiai Kiadó, vol. 116(3), pages 2113-2121, September.
    7. Gangan Prathap & Ronald Rousseau, 2023. "The modified repeat rate described within a thermodynamic framework," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(5), pages 3185-3195, May.
    8. Kim, Hyeyoung & Park, Hyelin & Song, Min, 2022. "Developing a topic-driven method for interdisciplinarity analysis," Journal of Informetrics, Elsevier, vol. 16(2).
    9. Rüdiger Mutz, 2022. "Diversity and interdisciplinarity: Should variety, balance and disparity be combined as a product or better as a sum? An information-theoretical and statistical estimation approach," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(12), pages 7397-7414, December.
    10. Gangan Prathap, 2019. "Balance: a thermodynamic perspective," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(1), pages 247-255, April.
    11. Shiji Chen & Yanhui Song & Fei Shu & Vincent Larivière, 2022. "Interdisciplinarity and impact: the effects of the citation time window," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(5), pages 2621-2642, May.
    12. Leydesdorff, Loet & Wagner, Caroline S. & Bornmann, Lutz, 2019. "Interdisciplinarity as diversity in citation patterns among journals: Rao-Stirling diversity, relative variety, and the Gini coefficient," Journal of Informetrics, Elsevier, vol. 13(1), pages 255-269.

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