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http://hdl.handle.net/1942/35390
Title: | h-Type indices, partial sums and the majorization order | Authors: | EGGHE, Leo ROUSSEAU, Ronald |
Issue Date: | 2020 | Publisher: | MIT PRESS | Source: | QUANTITATIVE SCIENCE STUDIES, 1 (1) , p. 320 -330 | Abstract: | We study the array of partial sums, P-X, of a given array X in terms of its h-type indices. Concretely, we show that h(P-X) can be described in terms of the Lorenz curve of the array X and obtain a relation between the sum of the components of P-X and the Gini index of X. Moreover, we obtain sharp lower and upper bounds for h-type indices of P-X. | Notes: | Rousseau, R (corresponding author), Univ Antwerp, Fac Social Sci, B-2020 Antwerp, Belgium.; Rousseau, R (corresponding author), Katholieke Univ Leuven, MSI, Fac Onderzoeksctr ECOOM, Naamsestr 61, B-3000 Leuven, Belgium. ronald.rousseau@uantwerpen.be |
Keywords: | partial sums of an array; h-index; g-index; R-index; Gini index; Lorenz;curve | Document URI: | http://hdl.handle.net/1942/35390 | ISSN: | 2641-3337 | e-ISSN: | 2641-3337 | DOI: | 10.1162/qss_a_00005 | ISI #: | WOS:000691837400017 | Rights: | © 2019 Leo Egghe and Ronald Rousseau. Published under a Creative Commons Attribution 4.0 International (CC BY 4.0) license. | Category: | A1 | Type: | Journal Contribution | Validations: | vabb 2024 |
Appears in Collections: | Research publications |
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qss_a_00005.pdf | Published version | 271.72 kB | Adobe PDF | View/Open |
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