h-Type indices, partial sums and the majorization order: a first approach

Egghe, Leo and Rousseau, Ronald h-Type indices, partial sums and the majorization order: a first approach., 2019 [Preprint]

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English abstract

We study the array of partial sums, PX, of a given array X in terms of its h-type indices. Concretely, we obtain sharp lower and upper bounds for these h-type indices. Moreover, we show that h(PX) can be described in terms of the Lorenz curve of the array X.

Item type: Preprint
Keywords: partial sums of an array; h-index; g-index ; R-index; Gini index ; Lorenz curve
Subjects: A. Theoretical and general aspects of libraries and information.
A. Theoretical and general aspects of libraries and information. > AB. Information theory and library theory.
Depositing user: Ronald Rousseau
Date deposited: 05 May 2019 08:16
Last modified: 05 May 2019 08:16
URI: http://hdl.handle.net/10760/34395

References

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