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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/1785

Title: Item-time-dependent Lotkaian informetrics and applications to the calculation of the time-dependent h- and g-index
Authors: EGGHE, Leo
Issue Date: 2007
Publisher: Elsevier
Citation: MATHEMATICAL AND COMPUTER MODELLING, 45(7-8). p. 864-872
Abstract: The model for the cumulative nth citation distribution, as developed in [L. Egghe, I.K. Ravichandra Rao, Theory of first-citation distributions and applications, Mathematical and Computer Modelling 34 (2001) 81–90] is extended to the general source–item situation. This yields a time-dependent Lotka function based on a given (static) Lotka function (considered to be valid for time t=∞). Based on this function, a time-dependent Lotkaian informetrics theory is then further developed by e.g. deriving the corresponding time-dependent rank–frequency function. These tools are then used to calculate the dynamical (i.e. time-dependent) g-index (of Egghe) while also an earlier proved result on the time-dependent h-index (of Hirsch) is refound. It is proved that both indexes are concavely increasing to their steady state values for t=∞.
URI: http://hdl.handle.net/1942/1785
DOI: 10.1016/j.mcm.2006.08.006
ISI #: 000244393200012
ISSN: 0895-7177
Category: A1
Type: Journal Contribution
Validation: ecoom, 2008
Appears in Collections: Research publications

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