Statistical Indicators of the Scientific Publications Importance: A Stochastic Model and Critical Look

Mathematics

YuliaV. Kuvaeva¹  LevB. Klebanov²  ZeevE. Volkovich³ 

[1] Department of Finance, Money Circulation and Credit, Ural State University of Economics, 620144 Yekaterinburg, Russia;Department of Probability and Mathematical Statistics, Charles University, 116 36 Prague, Czech Republic;Software Engineering Department, ORT Braude College, 21982 Karmiel, Israel;

关键词: citation distribution;    Hirsch index;    geometric distribution;    Sibuya distribution;   

DOI  :  10.3390/math8050713

来源: DOAJ

【 摘 要 】

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 Sibuya laws. Real data analysis of the Hirsch index and corresponding citation numbers is given.

【 授权许可】

Unknown