Statistical Indicators of the Scientific Publications Importance: a Stochastic Model and Critical Look
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A model of scientific citation distribution is given. We apply it to understand the role of the Hirsch index as an indicator of scientific publication importance in Mathematics and some related fields. The proposed model is based on a generalization of such well-known distributions as geometric and Sibuja laws included now in a family of distributions. Real data analysis of the Hirsch index and corresponding citation numbers is given.
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