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An informetric model for the Hirsch-index

Author

Listed:
  • Leo Egghe

    (Hasselt University; Antwerp University, IBW)

  • Ronald Rousseau

    (Antwerp University, IBW; KHBO (Association K.U.Leuven), Industrial Sciences and Technology)

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 = T 1 / 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.

Suggested Citation

  • Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    • Handle: RePEc:spr:scient:v:69:y:2006:i:1:d:10.1007_s11192-006-0143-8
    DOI: 10.1007/s11192-006-0143-8
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