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Relations between continuous versions of bibliometric laws

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  • Ronald Rousseau

Abstract

This article will show how by adding a third “hidden” variable to the two parameters in Lotka's law, this law becomes equivalent, in a strict logical sense, with Mandelbrot's. Similarly, Lotka's inverse square law becomes equivalent with Leimkuhler's. We will also show how Pareto's law fits into this framework. © 1990 John Wiley & Sons, Inc.

Suggested Citation

  • Ronald Rousseau, 1990. "Relations between continuous versions of bibliometric laws," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 41(3), pages 197-203, April.
    • Handle: RePEc:bla:jamest:v:41:y:1990:i:3:p:197-203
    DOI: 10.1002/(SICI)1097-4571(199004)41:33.0.CO;2-X
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    Cited by:

    1. Agouzal, Abdellatif & Lafouge, Thierry & Bertin, Marc, 2024. "Relationship between the principle of least effort and the average cost of information in a zipfian context," Journal of Informetrics, Elsevier, vol. 18(1).
    2. Ronald Rousseau, 2002. "Lack of standardisation in informetric research. Comments on “Power laws of research output. Evidence for journals of economics” by Matthias Sutter and Martin G. Kocher," Scientometrics, Springer;Akadémiai Kiadó, vol. 55(2), pages 317-327, August.
    3. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2019. "How mean rank and mean size may determine the generalised Lorenz curve: With application to citation analysis," Journal of Informetrics, Elsevier, vol. 13(1), pages 387-396.
    4. Dongbo Wang & Danhao Zhu & Xinning Su, 2012. "Lotka phenomenon in the words’ syntactic distribution complexity," Scientometrics, Springer;Akadémiai Kiadó, vol. 90(2), pages 483-498, February.

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