On the Distribution of the H-index

<p>The h-index has been considered in terms of both unrestricted integer partitions and fuzzy integrals, and the expected value of h for a given number of citations has been estimated.  However, the distribution of h as a function of both the number of citations and the number of papers has no...

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Bibliographic Details
Main Author: Simon Brown
Format: Article
Language:English
Published: Regional Information Center for Science and Technology (RICeST) 2018-02-01
Series:International Journal of Information Science and Management
Subjects:
Online Access:https://ijism.ricest.ac.ir/index.php/ijism/article/view/1171
Description
Summary:<p>The h-index has been considered in terms of both unrestricted integer partitions and fuzzy integrals, and the expected value of h for a given number of citations has been estimated.  However, the distribution of h as a function of both the number of citations and the number of papers has not been considered explicitly. Using Durfee squares determined from restricted integer partitions, it is shown that for a small number of papers the expected value of h estimated from the unrestricted partitions of the number of citations is unreliable. Despite this, it is confirmed that the distribution of his asymptotically normal. This means that h-indices should be considered in the context of the number of publications unless that number is large.</p><p>DOR: <span>98.1000/1726-8125.2018.16.15.0.1.79.120</span></p>
ISSN:2008-8302
2008-8310