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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. 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.
    2. 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.
    3. 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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