Theory and practise of the g-index

@article{Egghe2006TheoryAP,
  title={Theory and practise of the g-index},
  author={Leo Egghe},
  journal={Scientometrics},
  year={2006},
  volume={69},
  pages={131-152}
}
  • L. Egghe
  • Published 12 September 2006
  • Mathematics
  • Scientometrics
The g-index is introduced as an improvement of the h-index of Hirsch to measure the global citation performance of a set of articles. If this set is ranked in decreasing order of the number of citations that they received, the g-index is the (unique) largest number such that the top g articles received (together) at least g 2 citations. We prove the unique existence of g for any set of articles and we have that g ≥ h. The general Lotkaian theory of the g-index is presented and we show that g… 
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  • 2010
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TLDR
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TLDR
For determining the eminence of scientific journals, a new indicator stressing the importance of papers in the “elite set” (i.e., highly cited papers) is suggested, using the πv-index which is field and time dependent and closely correlated with the citedness (C/P) of Pπv papers.
What does the g-index really measure?
TLDR
It is concluded that the h-index is a better bibliometric tool than is the g-index, and that the square root of the total number of citations is a convenient measure of a researcher's overall impact.
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TLDR
The j-index is intended to complement rather than necessarily replace the h-index and other bibliometric indicators, thus providing a more complete picture of a researcher’s achievements.
REFLECTIONS ON THE H-INDEX
Since Hirsch’s first publication of the h-index in 2005 (Hirsch, 2005), this new measure of academic impact has generated a widespread interest. At the time of writing (January 2007) Google Scholar
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References

SHOWING 1-10 OF 17 REFERENCES
An improvement of the h-index: the g-index
For a set of papers, ranked in decreasing order of the number of citations that they received, the h-index is the (unique) highest number of papers that received h or more citations. In the
Dynamic h-index: The Hirsch index in function of time
  • L. Egghe
  • Mathematics
    J. Assoc. Inf. Sci. Technol.
  • 2007
TLDR
The time dependence of the /7-index is determined and it is shown that h is a concavely increasing function of time, asymptotically bounded by T1 ∞.
An informetric model for the Hirsch-index
TLDR
It is shown that in each practical situation an IPP always has a unique h-index, which is based on the total number of items in Lotkaian systems.
H-Index for Price Medalists
TLDR
A look at the h-index of all still active Price Medal awardees, which is an extremely simple and compre-hensible indicator that is based on quite long publication periods and variable citationwindows, and it is predestined for purpose indeed.
Introduction to Informetrics: Quantitative Methods in Library, Documentation and Information Science
TLDR
This chapter discusses informetric models, the dual approach between sources and items giving rise to the definition of Information Production Processes, and some science policy applications.
On the h-index - A mathematical approach to a new measure of publication activity and citation impact
  • W. Glänzel
  • Mathematics, Computer Science
    Scientometrics
  • 2006
TLDR
L'index-h, fonde sur le nombre de citations recues, mesure l'activite de publication and l'impact en citations, c'est un indicateur utile avec d'interessantes proprietes mathematiques, mais qui ne saurait se substituer aux indicateurs bibliometriques courants plus sophistiques.
A Hirsch-type index for journals
SummaryWe suggest that a h-type index - equal to h if you have published h papers, each of which has at least h citations - would be a useful supplement to journal impact factors.
Power Laws in the Information Production Process: Lotkaian Informetrics
TLDR
This book discusses Lotkaian Informetrics of Systems in which Items can have Multiple Sources and Construction of Fractional Size-Frequency Functions Based on Two Dual Lotka laws.
An index to quantify an individual's scientific research output
  • J. Hirsch
  • Economics
    Proc. Natl. Acad. Sci. USA
  • 2005
I propose the index h, defined as the number of papers with citation number ≥h, as a useful index to characterize the scientific output of a researcher.
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