Quesada, Antonio (2009): Axiomatics for the Hirsch research output index.

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Abstract
The Hirsch index is a number that synthesizes a researcher’s output. It is defined as the maximum number h such that the researcher has h papers with at least h citations each. Two axiomatic characterizations of this index are suggested. One of them provides a simple conceptualization of the Hirsch index: after selecting those outputs deserving index 1, the Hirsch index of any other output x is the minimum value of a twopart decomposition of x.
Item Type:  MPRA Paper 

Original Title:  Axiomatics for the Hirsch research output index 
Language:  English 
Keywords:  Hirsch index; publications; citations; research quality; scientific productivity. 
Subjects:  C  Mathematical and Quantitative Methods > C4  Econometric and Statistical Methods: Special Topics > C43  Index Numbers and Aggregation D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D80  General A  General Economics and Teaching > A1  General Economics > A11  Role of Economics ; Role of Economists ; Market for Economists 
Item ID:  19454 
Depositing User:  Antonio Quesada 
Date Deposited:  19. Dec 2009 15:10 
Last Modified:  15. Feb 2013 09:49 
References:  Hirsch, J. E. (2005): “An index to quantify an individual’s scientific research output”, Proceedings of the National Academy of Sciences 102(46), 1656916572. Sidiropoulos, A., Katsaros, D., Manolopoulos, Y. (2007): “Generalized Hirsch hindex for disclosing latent facts in citation networks”, Scientometrics 72(2), 253280. Wikipedia (2009): http://en.wikipedia.org/wiki/Hirsch_index, accessed the 18th of December, 2009. Woeginger, G. J. (2008a): “An axiomatic characterization of the Hirschindex”, Mathematical Social Sciences 56(2), 224 232. Woeginger, G. J. (2008b): “A symmetry axiom for scientific impact indices”, Journal of Informetrics 2(3), 298303. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/19454 