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Scientometrics

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

Stable non-Gaussian distributions in scientometrics

  • A. I. Yablonsky
Article

Abstract

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.

Keywords

Gaussian Distribution Empirical Data Mathematical Theory Related Variable Specific Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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