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

Lev B. Klebanov, Yulia V. Kuvaeva and Zeev E. Volkovich
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Lev B. Klebanov: Department of Probability and Mathematical Statistics, Charles University, 116 36 Prague, Czech Republic
Yulia V. Kuvaeva: Department of Finance, Money Circulation and Credit, Ural State University of Economics, 620144 Yekaterinburg, Russia
Zeev E. Volkovich: Software Engineering Department, ORT Braude College, Karmiel 21982, Israel

Mathematics, 2020, vol. 8, issue 5, 1-14

Abstract: 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.

Keywords: citation distribution; Hirsch index; geometric distribution; Sibuya distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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