An informetric model for the Hirsch-index

@article{Egghe2006AnIM,
  title={An informetric model for the Hirsch-index},
  author={Leo Egghe and Ronald Rousseau},
  journal={Scientometrics},
  year={2006},
  volume={69},
  pages={121-129}
}
SummaryThe h-index (or Hirsch-index) was defined by Hirsch in 2005 as the number h such that, for a general group of papers, h papers received at least h citations while the other papers received no more than h citations. This definition is extended here to the general framework of Information Production Processes (IPPs), using a source-item terminology. It is further shown that in each practical situation an IPP always has a unique h-index. In Lotkaian systems h = T1/a, where T is the total… 

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  • J. Bar-Ilan
  • Computer Science, Mathematics
    Scientometrics
  • 2007
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TLDR
It is shown that the h-index on the one hand, and the A- and g-indices on the other, measure different things, and it would seem that the g-index is the more useful of the two.

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

The single publication H-index of papers in the Hirsch-core of a researcher and the indirect H-index

TLDR
Two measures of indirect citation impact are proposed: the average of the single publication H-indices of the papers in the Hirsch-core and the H-index of these single publicationH-indice, defined as the indirect H- index, given in the Lotkaian context.

Modelling successive h-indices

TLDR
A model for such successive h-indices based on the existing theory on the distribution of the h- index in Lotkaian informetrics is presented and it is shown that, each step, involves the multiplication of the exponent of the previous h-index by 1/α where α > 1 is a Lotka exponent.

Theory and practise of the g-index

TLDR
It is shown that the g-index inherits all the good properties of the h-index and better takes into account the citation scores of the top articles and yields a better distinction between and order of the scientists from the point of view of visibility.

The Hirsch-index of set partitions

TLDR
In the continuous Lotkaian setting it is proved that, given a set of citations of cardinality A, the h-index only depends on the average number of citations that an author or a journal receives, and this functional dependence is calculated and it has a unique maximum for which formulae are given.

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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 ∞.
...

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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 ∞.

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A new indicator for the assessment of the research performance of individual scientists was suggested by Jorge E. Hirsch in 2005. Several opportunities and limitations of this new measure are

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TLDR
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