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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| Format: | Article |
| Language: | English |
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Regional Information Center for Science and Technology (RICeST)
2018-02-01
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| Series: | International Journal of Information Science and Management |
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| Online Access: | https://ijism.ricest.ac.ir/index.php/ijism/article/view/1171 |
| _version_ | 1811320088808128512 |
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| author | Simon Brown |
| author_facet | Simon Brown |
| author_sort | Simon Brown |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-04-13T12:53:21Z |
| format | Article |
| id | doaj.art-c4ef156bcef147de8c841ad9a27775f8 |
| institution | Directory Open Access Journal |
| issn | 2008-8302 2008-8310 |
| language | English |
| last_indexed | 2024-04-13T12:53:21Z |
| publishDate | 2018-02-01 |
| publisher | Regional Information Center for Science and Technology (RICeST) |
| record_format | Article |
| series | International Journal of Information Science and Management |
| spelling | doaj.art-c4ef156bcef147de8c841ad9a27775f82022-12-22T02:46:08ZengRegional Information Center for Science and Technology (RICeST)International Journal of Information Science and Management2008-83022008-83102018-02-01161290On the Distribution of the H-indexSimon Brown<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>https://ijism.ricest.ac.ir/index.php/ijism/article/view/1171distributionh-indexinteger partitionuncertainty |
| spellingShingle | Simon Brown On the Distribution of the H-index International Journal of Information Science and Management distribution h-index integer partition uncertainty |
| title | On the Distribution of the H-index |
| title_full | On the Distribution of the H-index |
| title_fullStr | On the Distribution of the H-index |
| title_full_unstemmed | On the Distribution of the H-index |
| title_short | On the Distribution of the H-index |
| title_sort | on the distribution of the h index |
| topic | distribution h-index integer partition uncertainty |
| url | https://ijism.ricest.ac.ir/index.php/ijism/article/view/1171 |
| work_keys_str_mv | AT simonbrown onthedistributionofthehindex |