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|Title: ||Distributions of the h-index and the g-index|
|Authors: ||EGGHE, Leo|
|Issue Date: ||2007|
|Citation: ||Torres-Salinas, D. & Moed, H. (Ed.) Proceedings of the 11th International Society for Scientometrics and Informetrics. p. 245-253.|
|Abstract: ||In every scientific research area, each scientist has a unique h-index and g-index. This paper addresses the problem of determining the distribution of these indexes over the scientists. We apply aspects of linear three-dimensional Lotkaian informetrics to determine these distributions.
We show that, supposing the article – citation information production process (IPP) to be Lotkaian with exponent and supposing the scientist-article IPP to be Lotkaian with exponent α, we have that the scientist-h-index IPP and the scientist-g-index IPP are Lotkaian with exponent . This model is proved for discrete as well as continuous variables.
This shows that the size-frequency distributions of the h-index and the g-index are very skew in general due to the generally high value of αα∗. We also calculate the rank-frequency distributions of the h- and g-index, based on the size-frequency distributions in the continuous variables case. Examples are given.|
|ISI #: ||000250317700027|
|Type: ||Proceedings Paper|
|Validation: ||ecoom, 2008|
|Appears in Collections: ||Research publications|
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|Preprint||90.32 kB||Adobe PDF|
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