2006
DOI: 10.1007/s11192-006-0144-7
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Theory and practise of the g-index

Abstract: The g-index is introduced as an improvement of the h-index of Hirsch to measure the global citation performance of a set of articles. If this set is ranked in decreasing order of the number of citations that they received, the g-index is the (unique) largest number such that the top g articles received (together) at least citations. We prove the unique existence of g for any set of articles and we have that .The general Lotkaian theory of the g-index is presented and we show that 1 1

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Cited by 1,853 publications
(1,358 citation statements)
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“…Another important impact indices and methods are planned to investigate in the near future, e.g. g-index (Egghe, 2006), highly cited papers (Aksnes, 2003;Aksnes & Taxt, 2004), percentile distribution of publications by citation Leydesdorff & Opthof, 2011).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Another important impact indices and methods are planned to investigate in the near future, e.g. g-index (Egghe, 2006), highly cited papers (Aksnes, 2003;Aksnes & Taxt, 2004), percentile distribution of publications by citation Leydesdorff & Opthof, 2011).…”
Section: Resultsmentioning
confidence: 99%
“…A-index (Jin, 2006) and R-index (Jin et al, 2007) or different combinations of the rank number of papers and citations (e.g. g-index, Egghe, 2006).…”
Section: Introductionmentioning
confidence: 99%
“…The discussion involves the introduction of an index of sparsity, inspired by the g-index from bibliometry (Egghe, 2006). Assumption 2 is satisfied if the data vector β n is sparse, if the noise is not heavy tailed, so that it can be easily separated from the data, and if the threshold or model size is near its optimal value.…”
Section: Assumptionmentioning
confidence: 99%
“…This L 2 -concentration index can be seen as the equivalent of the g-index in bibliometry (Egghe, 2006), where sparsity corresponds to a low index value. If x 1 (n) is small, then the greater part (1 − x 1 (n)) of the energy in the vector β n is concentrated the large components, accounting for only a fraction x 1 (n) of the total size of the vector.…”
Section: E the Interpretation Of Assumptionmentioning
confidence: 99%
“…Here, citations are used exclusively in order to establish quality requirements and, as a result, the score assigned to each research unit cannot be larger than the number of publications by construction (upper bounded indexes). This is the case of the h-index (Hirsch, 2005), g-index (Egghe, 2006a), h 2 -index (Kosmulski, 2006), w-index (Woeginger, 2008a), and the f-and t-indexes (Tol, 2009). On the other hand, some other (h-type) indexes have been recently proposed by which the qualitative perspective is enforced.…”
Section: Introductionmentioning
confidence: 99%