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Title: Distributions of the h-index and the g-index
Authors: EGGHE, Leo 
Issue Date: 2007
Publisher: CSIC
Source: 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.
Keywords: h-index; Hirsch index; g-index; distribution; Lotka;h-index; Hirsch index; g-index; distribution; Lotka
Document URI:
ISI #: 000250317700027
Category: C1
Type: Proceedings Paper
Validations: ecoom 2008
Appears in Collections:Research publications

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