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http://hdl.handle.net/1942/8524
Title: | Time-dependent Lotkaian informetrics incorporating growth of sources and items | Authors: | EGGHE, Leo | Issue Date: | 2009 | Publisher: | PERGAMON-ELSEVIER SCIENCE LTD | Source: | MATHEMATICAL AND COMPUTER MODELLING, 49(1-2). p. 31-37 | Abstract: | In a previous article, static Lotkaian theory was extended by introducing a growth function for the items. In this article, a second general growth function – this time for the sources – is introduced. Hence this theory now comprises real growth situations, where items and sources grow, starting from zero, and at possibly different paces. The time-dependent size- and rank-frequency functions are determined and, based on this, we calculate the general, time-dependent, expressions for the h- and g-index. As in the previous article we can prove that both indices increase concavely with a horizontal asymptote, but the proof is more complicated: we need the result that the generalized geometric average of concavely increasing functions is concavely increasing. | Keywords: | Lotka; Lotkaian informetrics; Growth of sources; Growth of items; Time-dependent; h-index; Hirsch; g-inde | Document URI: | http://hdl.handle.net/1942/8524 | ISSN: | 0895-7177 | DOI: | 10.1016/j.mcm.2008.01.011 | ISI #: | 000260904100004 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2009 |
Appears in Collections: | Research publications |
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incorporating 1.pdf Restricted Access | Published version | 288.89 kB | Adobe PDF | View/Open Request a copy |
incorporating 2.pdf | Peer-reviewed author version | 350.02 kB | Adobe PDF | View/Open |
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