, Volume 7, Issue 3–6, pp 459–470 | Cite as

Stable non-Gaussian distributions in scientometrics

  • A. I. Yablonsky


A mathematical treatment is given for the family of scientometric laws (usually referred to as the Zipf-Pareto law) that have been described byPrice and do not conform with the usual “Gaussian” view of empirical distributions. An analysis of the Zipf-Pareto law in relationship with stable non Gaussian distributions. An analysis of the Zipf-Pareto law in relationship with stable non Gaussian distributions reveals, in particular, that the truncated Cauchy distribution asymptotically coincides with Lotka's law, the most well-known frequency form of the Zipf-Pareto law. The mathematical theory of stable non Gaussian distributions, as applied to the analysis of the Zipf-Pareto law, leads to several conclusions on the mechanism of their genesis, the specific methods of processing empirical data, etc. The use of non-Gaussian processes in scientometric models suggests that this approach may result in a general mathematical theory describing the distribution of science related variables.


Gaussian Distribution Empirical Data Mathematical Theory Related Variable Specific Method 
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Copyright information

© Akadémiai Kiadó 1985

Authors and Affiliations

  • A. I. Yablonsky
    • 1
  1. 1.All Union Research Institute of Systems StudiesMoscowUSSR

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