The h-index as an almost-exact function of some basic statistics

Scientometrics
Lucio Bertoli-Barsotti, Tommaso Lando

Abstract

As is known, the h-index, h, is an exact function of the citation pattern. At the same time, and more generally, it is recognized that h is "loosely" related to the values of some basic statistics, such as the number of publications and the number of citations. In the present study we introduce a formula that expresses the h-index as an almost-exact function of some (four) basic statistics. On the basis of an empirical study-in which we consider citation data obtained from two different lists of journals from two quite different scientific fields-we provide evidence that our ready-to-use formula is able to predict the h-index very accurately (at least for practical purposes). For comparative reasons, alternative estimators of the h-index have been considered and their performance evaluated by drawing on the same dataset. We conclude that, in addition to its own interest, as an effective proxy representation of the h-index, the formula introduced may provide new insights into "factors" determining the value of the h-index, and how they interact with each other.

References

Nov 9, 2005·Proceedings of the National Academy of Sciences of the United States of America·J E Hirsch
Feb 23, 2012·Scientific Reports·Alexander M PetersenSauro Succi
Apr 24, 2015·Nature·Diana HicksIsmael Rafols
Jun 10, 2017·Scientometrics·Lucio Bertoli-Barsotti, Tommaso Lando

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Citations

Sep 9, 2018·Emergency Radiology·Frank BattagliaFaisal Khosa
Mar 30, 2021·Anais Brasileiros De Dermatologia·Hélio Amante MiotPaulo Müller Ramos
Mar 31, 2021·Journal of Oral and Maxillofacial Surgery : Official Journal of the American Association of Oral and Maxillofacial Surgeons·Yunus Balel, Mehmet Kemal Tümer
Jul 17, 2021·Computers & Chemical Engineering·Iordanis KesisoglouMichael Nikolaou
Jul 16, 2021·The British Journal of Oral & Maxillofacial Surgery·Y Balel

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