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Egghe's g ‐index is not a proper concentration measure
Author(s) -
Rousseau Ronald
Publication year - 2015
Publication title -
journal of the association for information science and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.903
H-Index - 145
eISSN - 2330-1643
pISSN - 2330-1635
DOI - 10.1002/asi.23276
Subject(s) - citation , index (typography) , measure (data warehouse) , library science , computer science , world wide web , data mining
is a “good” normalized concentration measure. In Equation 1, g denotes the g-index (Egghe, 2006), C is the total number of citations received by the scientist under study (for example), and ⎣*⎦ denotes the floor function (⎣x⎦ is the largest integer smaller than or equal to x. The following example shows that Equation 1 cannot possibly be a normalized concentration measure. Let X1 = (12, 6, 3, 3, 3, 0). Then g(X1) = 5 and C = 27, hence s(X1) = 1, the maximum value. I think that no one would claim that array X1 represents the most concentrated situation possible. Note that Egghe’s approach needs an