Stable non-Gaussian distributions in scientometrics

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