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Transfer principles and a classification of concentration measures

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  • L. Egghe
  • R. Rousseau

Abstract

In this article we show that the notion of concentration (or inequality) can best be studied by applying a number of transfer principles. We prove this by showing that transfer principles imply other natural concentration requirements such as the principle of nominal increase. We moreover exhibit a relation between Dalton's transfer principle and the Lorenz dominance order. We distinguish between simple and stronger transfer principles, leading to a classification of concentration measures. Finally, it is shown that the coefficient of variation and some measures derived from it are the “ultimate best” ones. © 1991 John Wiley & Sons, Inc.

Suggested Citation

  • L. Egghe & R. Rousseau, 1991. "Transfer principles and a classification of concentration measures," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 42(7), pages 479-489, August.
  • Handle: RePEc:bla:jamest:v:42:y:1991:i:7:p:479-489
    DOI: 10.1002/(SICI)1097-4571(199108)42:73.0.CO;2-9
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    Citations

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    Cited by:

    1. Leo Egghe, 2000. "The Distribution of N-Grams," Scientometrics, Springer;Akadémiai Kiadó, vol. 47(2), pages 237-252, February.
    2. Qiuju Zhou & Ronald Rousseau & Liying Yang & Ting Yue & Guoliang Yang, 2012. "A general framework for describing diversity within systems and similarity between systems with applications in informetrics," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(3), pages 787-812, December.
    3. Leo Egghe & Ronald Rousseau, 2001. "Symmetric and Asymmetric Theory of Relative Concentration and Applications," Scientometrics, Springer;Akadémiai Kiadó, vol. 52(2), pages 261-290, October.
    4. Fuyuki Yoshikane & Yutaka Suzuki & Keita Tsuji, 2012. "Analysis of the relationship between citation frequency of patents and diversity of their backward citations for Japanese patents," Scientometrics, Springer;Akadémiai Kiadó, vol. 92(3), pages 721-733, September.
    5. Wu, Dengsheng & Yuan, Lili & Li, Ruoyun & Li, Jianping, 2018. "Decomposing inequality in research funding by university-institute sub-group: A three-stage nested Theil index," Journal of Informetrics, Elsevier, vol. 12(4), pages 1312-1326.
    6. Leo Egghe, 2004. "Positive reinforcement and 3-dimensional informetrics," Scientometrics, Springer;Akadémiai Kiadó, vol. 60(3), pages 497-509, August.

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