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Consideration of Neglected Citations by Hirsch Index
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Monotonicity and the Hirsch index
Journal of Informetrics, 2009Abstract The Hirsch index is a number that synthesizes a researcher's output. It is the maximum number h such that the researcher has h papers with at least h citations each. Woeginger [Woeginger, G. J. (2008a). An axiomatic characterization of the Hirsch-index. Mathematical Social Sciences , 56 (2), 224–232; Woeginger, G. J. (2008b).
Antonio Quesada
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Hirsch index or Hirsch rate? Some thoughts arising from Liang’s data
Scientometrics, 2007Hirsch’s h-index gives a single number that in some sense summarizes an author’s research output and its impact. Since an individual author’s h-index will be time-dependent, we propose instead the h-rate which, according to theory, is (almost) constant.
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Hirsch's h-index: A stochastic model
Journal of Informetrics, 2007Abstract We propose a simple stochastic model for an author's production/citation process in order to investigate the recently proposed h-index for measuring an author's research output and its impact. The parametric model distinguishes between an author's publication process and the subsequent citation processes of the published papers.
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Paretian publication patterns imply Paretian Hirsch index
Scientometrics, 2009The paper pursues the rigorous mathematical study of the Hirsch index and shows that it has power law upper tail distribution and determines the exponent provided that the underlying publication and citation distributions have fat tails as well. The result is demonstrated on the distribution of the Hirsch index of journals.
Krisztina Barcza, András Telcs
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New seniority-independent Hirsch-type index
Journal of Informetrics, 2009The following seniority-independent Hirsch-type index has been defined. A scientist has index hpd if hpd of his/her papers have at least hpd citations per decade each, and his/her other papers have less than hpd + 1 citations per decade each. In contrast with the original h-index, which steadily increases in time, hpd of a mature scientist is nearly ...
Marek Kosmulski
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Axiomatics for the Hirsch index and the Egghe index
Journal of Informetrics, 2011Abstract The Hirsch index and the Egghe index are both numbers that synthesize a researcher's output. The h-index associated with researcher r is the maximum number h such that r has h papers with at least h citations each. The g-index is the maximum number g of papers by r such that the average number of citations of the g papers is at least g. Both
Antonio Quesada
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