# 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…

## 281 Citations

An improvement of the h-index: the g-index

- Mathematics
- 2006

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

- Computer Science, MathematicsScientometrics
- 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

- Economics
- 2012

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

- MathematicsScientometrics
- 2011

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

- MathematicsScientometrics
- 2006

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.

Formulae for the h-index: A lack of robustness in Lotkaian informetrics?

- MathematicsJ. Assoc. Inf. Sci. Technol.
- 2013

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.

The Hirsch index of a shifted Lotka function and its relation with the impact factor

- MathematicsJ. Assoc. Inf. Sci. Technol.
- 2012

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.

## References

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It was found that on average the h-index for successful applicants for post-doctoral research fellowships was consistently higher than for non-successful applicants.

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- Mathematics
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I propose the coefficient, $t_h$, and its modification $N_t$ which in a simple way reflect dynamics of scientific activity of an individual researcher. I determine $t_h$ as a time period (from some…

On the h-index - A mathematical approach to a new measure of publication activity and citation impact

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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.

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On the Opportunities and Limitations of the H-index

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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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Dynamic h-index: The Hirsch index in function of time

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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 ∞.

A Hirsch-type index for journals

- BiologyScientometrics
- 2006

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.