On the Distribution of the H-index

Simon Brown


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.

DOR: 98.1000/1726-8125.2018.


Distribution; H-Index; Integer Partition; Uncertainty

Full Text:



  • There are currently no refbacks.

E-ISSN: 2008-8310

   ISSN: 2008-8302