Please use this identifier to cite or link to this item: 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
Appears in Collections:Research publications

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