NDLI: Positive reinforcement and 3-dimensional informetrics

Content Provider	Springer Nature Link
Author	Egghe, Leo
Copyright Year	2004
Abstract	We show that the composition of two information production processes (IPPs), where the items of the first IPP are the sources of the second, and where the ranks of the sources in the first IPP agree with the ranks of the sources in the second IPP, yields an IPP which is positively reinforced with respect to the first IPP. This means that the rank-frequency distribution of the composition is the composition of the rank-frequency distribution of the first IPP and an increasing function φ, which is explicitly calculable from the two IPPs' distributions. From the rank-frequency distribution of the composition, we derive its size-frequency distribution in terms of the size-frequency distribution of the first IPP and of the function φ. The paper also relates the concentration of the reinforced IPP to that of the original one. This theory solves part of the problem of the determination of a third IPP from two given ones (so-called three-dimensional informetrics). In this paper we solved the “linear” case, i.e., where the third IPP is the composition of the other two IPPs.
Starting Page	497
Ending Page	509
Page Count	13
File Format	PDF
ISSN	01389130
Journal	Scientometrics
Volume Number	60
Issue Number	3
e-ISSN	15882861
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2004-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Information Storage and Retrieval Interdisciplinary Studies Library Science
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Computer Science Applications

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