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Title: | An econometric property of the g-index | Authors: | EGGHE, Leo | Issue Date: | 2009 | Publisher: | PERGAMON-ELSEVIER SCIENCE LTD | Source: | INFORMATION PROCESSING & MANAGEMENT, 45(4). p. 484-489 | Abstract: | Let X=(x(1), ... ,x(N)) and Y=(y(1), ... ,y(N)) be two decreasing vectors with positive coordinates Sigma(N)(j=1)x(j) = Sigma(N)(j=1)y(j) (representing e.g. citation data of articles of two authors or journals with the same number of publications and the same number of citations (in total)). It is remarked that if the Lorenz curve L(X) of X is above the Lorenz curve L(Y) of Y, then the g-index g(X) of X is larger than or equal to the g-index g(Y) of Y. We indicate that this is a good property for so-called impact measures which is not shared by other impact measures such as the h-index. If L(X) = L(Y) and Sigma(N)(j=1)x(j) = Sigma(N)(j=1)y(j) we prove that g(X) >= g(Y). We can even show that g(X) > g(Y) in case of integer values x(i) and y(j) and we also investigate this property for other impact measures. | Keywords: | g-Index; h-Index; Hirsch; R-index; Kosmulski; Lorenz curve;g-Index; h-Index; Hirsch; R-index; Kosmulski; Lorenz curve | Document URI: | http://hdl.handle.net/1942/9682 | ISSN: | 0306-4573 | e-ISSN: | 1873-5371 | DOI: | 10.1016/j.ipm.2009.04.001 | ISI #: | 000267170100008 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2010 |
Appears in Collections: | Research publications |
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econometric 1.pdf Restricted Access | Published version | 158.38 kB | Adobe PDF | View/Open Request a copy |
econometric 2.pdf | Peer-reviewed author version | 304.42 kB | Adobe PDF | View/Open |
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