# 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…

## 282 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…

### New developments related to the Hirsch index

- Mathematics
- 2006

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

- 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.

### Modelling successive h-indices

- MathematicsScientometrics
- 2007

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

- 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.

### The Hirsch-index of set partitions

- Computer Science
- 2011

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.

### An informetric model for the success-index

- Computer ScienceJ. Informetrics
- 2013

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

- MathematicsJ. Assoc. Inf. Sci. Technol.
- 2007

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 ∞.

## References

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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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- 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…

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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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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.

### 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.