Publication
Title
Time-dependent Lotkaian informetrics incorporating growth of sources and items
Author
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 functionthis time for the sourcesis 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.
Language
English
Source (journal)
Mathematical and computer modelling. - Oxford
Publication
Oxford : 2009
ISSN
0895-7177
Volume/pages
49:1/2(2009), p. 31-37
ISI
000260904100004
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 28.04.2009
Last edited 16.09.2017
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