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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 | Source: | 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=∞. | Keywords: | Lotka; Lotkaian informetrics; Time-dependent; h-index; Hirsch; g-index;Lotka; Lotkaian informetrics; Time-dependent; h-index; Hirsch; g-index | Document URI: | http://hdl.handle.net/1942/1785 | ISSN: | 0895-7177 | DOI: | 10.1016/j.mcm.2006.08.006 | ISI #: | 000244393200012 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2008 |
Appears in Collections: | Research publications |
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item 1.pdf Restricted Access | Published version | 223.21 kB | Adobe PDF | View/Open Request a copy |
item 2.pdf | Peer-reviewed author version | 300.02 kB | Adobe PDF | View/Open |
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