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http://hdl.handle.net/1942/1791
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: | http://hdl.handle.net/1942/1791 | ISI #: | 000250317700027 | Category: | C1 | Type: | Proceedings Paper | Validations: | ecoom 2008 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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Distributionhindex.pdf | Non Peer-reviewed author version | 90.32 kB | Adobe PDF | View/Open |
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