Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/9681
Title: | Mathematical derivation of the impact factor distribution | Authors: | EGGHE, Leo | Issue Date: | 2009 | Publisher: | ELSEVIER SCIENCE BV | Source: | JOURNAL OF INFORMETRICS, 3(4). p. 290-295 | Abstract: | Experimental data in Mansilla, Köppen, Cocho and Miramontes [Journal of Informetrics 1(2), 155-160, 2007] reveal that, if one ranks a set of journals (e.g. in a field) in decreasing order of their impact factors, the rank distribution of the logarithm of these impact factors has a typical S-shape: first a convex decrease, followed by a concave decrease. In this paper we give a mathematical formula for this distribution and explain the S-shape. Also the experimentally found smaller convex part and larger concave part is explained. If one studies the rank distribution of the impact factors themselves we now prove that we have the same S-shape but with inflection point in μ, the average of the impact factors. These distributions are valid for any type of impact factor (any publication period and any citation period). They are even valid for any sample average rank distribution. | Keywords: | Impact factor; Rank distribution; S-shape; Central Limit Theorem; Average;impact factor, rank distribution, S-shape, Central Limit Theorem, average | Document URI: | http://hdl.handle.net/1942/9681 | ISSN: | 1751-1577 | e-ISSN: | 1875-5879 | DOI: | 10.1016/j.joi.2009.01.004 | ISI #: | 000269075100002 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2010 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
derivation 1.pdf Restricted Access | Published version | 147.04 kB | Adobe PDF | View/Open Request a copy |
derivation 2.pdf | Peer-reviewed author version | 253.6 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
24
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
23
checked on Apr 30, 2024
Page view(s)
56
checked on Sep 7, 2022
Download(s)
208
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.