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… 
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
The h-index of h-index and of other informetric topics
  • J. Bar-Ilan
  • Computer Science, Mathematics
    Scientometrics
  • 2007
In this paper we examine the applicability of the concept of h-index to topics, where a topic has index h, if there are h publications that received at least h citations and the rest of the
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.
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.
An informetric model for the success-index
On a formula for the h-index
Formulae for the h-index: A lack of robustness in Lotkaian informetrics?
  • Q. Burrell
  • Mathematics
    J. Assoc. Inf. Sci. Technol.
  • 2013
TLDR
It is shown, through a small empirical study, that the formulae actually give very similar results whether or not the uncited papers are included, and suggests that even if the upper tail of the citation distribution is restricted, a simple Lotka/Pareto-like model can give misleading results.
Analysis of the Hirsch index's operational properties
The Hirsch index of a shifted Lotka function and its relation with the impact factor
TLDR
An implicit functional relation is proved between the Hirsch index (h-index) and the total number of sources (T) and it is shown that the corresponding function, h(T), is concavely increasing.
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References

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TLDR
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TLDR
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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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