Towards understanding the Lorenz curve using the Ordered uniform spacings

Name: Towards understanding the Lorenz curve using the Ordered uniform spacings
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Towards understanding the Lorenz curve using the Ordered uniform spacings

Author

Chris Stephens

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Language

English

Online from

06-2016

Issn

1824-6672 (print) | 2283-6659 (digital)

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Description Readers' comments

This paper investigates the Ordered uniform spacings and produces the associated moment generating function of the Gini coefficient of inequality. Using the expected values of the individual spacings, it gives the consequential Lorenz curve and discusses its characteristics. Following this, it suggests some extensions, producing families of Lorenz curves. Finally, it proposes a number of areas for further work.

Keywords: Gini inequality index, Lorenz curves, Ordered uniform spacings.