Open Accessh-Type indices, partial sums and the majorization order
Author(s) -
Leo Egghe,
Ronald Rousseau
Publication year - 2019
Publication title -
quantitative science studies
Language(s) - English
Resource type - Journals
ISSN - 2641-3337
DOI - 10.1162/qss_a_00005
Subject(s) - majorization , type (biology) , mathematics , combinatorics , order (exchange) , index (typography) , statistics , discrete mathematics , computer science , ecology , finance , world wide web , economics , biology
We study the array of partial sums, PX, of a given array X in terms of its h-type indices. Concretely, we show that h(PX) can be described in terms of the Lorenz curve of the array X and obtain a relation between the sum of the components of PX and the Gini index of X. Moreover, we obtain sharp lower and upper bounds for h-type indices of PX.
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