h-Type indices, partial sums and the majorization order

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.

Jaar van publicatie:2020

Trefwoorden:A1 Journal article

BOF-keylabel:ja

Toegankelijkheid:Open