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Mathematics
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Mathematics
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Mathematics
Article
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Mathematics
Article . 2020
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Statistical Indicators of the Scientific Publications Importance: A Stochastic Model and Critical Look

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 03 May 2020Embargo end date: 01 Jan 2020 English Publisher:MDPI AGJournal:Mathematics, volume 8, page 713 (eissn: 2227-7390, Copyright policy )
Authors: Klebanov, Lev B.; Kuvaeva, Yulia V.; Volkovich, Zeev E.;

doi: 10.3390/math8050713 , 10.48550/arxiv.2003.08991

arXiv: 2003.08991

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

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.

Related Organizations
Keywords

FOS: Computer and information sciences, Sibuya distribution, Probability (math.PR), Statistics - Applications, geometric distribution, 60E05, 62P25, 60E99, QA1-939, FOS: Mathematics, Hirsch index, Applications (stat.AP), citation distribution, Mathematics, Mathematics - Probability

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green
gold