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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Lev B. Klebanov & Yulia V. Kuvaeva & Zeev E. Volkovich, 2020. "Statistical Indicators of the Scientific Publications Importance: A Stochastic Model and Critical Look," Mathematics, MDPI, vol. 8(5), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:713-:d:353610
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