An informetric model for the Hirsch-index |
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| Authors: | Leo Egghe Ronald Rousseau |
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| Affiliation: | (1) Hasselt University; Antwerp University, IBW, Agoralaan, B-3590 Diepenbeek, Belgium; Wilrijk (Belgium);(2) Department of Industrial Sciences and Technology, Antwerp University, IBW; KHBO (Association K.U.Leuven), Industrial Sciences and Technology, Zeedijk 101 Wilrijk (Belgium); Oostende (Belgium), BE–8400 Oostende |
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| Abstract: | Summary The h-index (or Hirsch-index) was defined by Hirsch in 2005 as the number h such that, for a general group of papers, h papers received at least h citations while the other papers received no more than h citations. This definition is extended here to the general framework of Information Production Processes (IPPs), using a source-item
terminology. It is further shown that in each practical situation an IPP always has a unique h-index. In Lotkaian systems h = T1/a, where T is the total number of sources and α is the Lotka exponent. The relation between h and the total number of items is highlighted. |
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