Inequality curve and inequality index based on the ratios between lower and upper arithmetic means

Name: Inequality curve and inequality index based on the ratios between lower and upper arithmetic means
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Inequality curve and inequality index based on the ratios between lower and upper arithmetic means

Author

Michele Zenga

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Online from

01-2007

Issn

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

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Description Readers' comments

A new inequaliy curve I(p) based on the ratio between the lower mean M(p) and the upper mean þ M+(p) is proposed. By averaging I(p) the new inequality index I is obtained. The index I satisfies the usual properties required to an inequality measure. Being U(p)=1-I(p) a ratio between two arithmetic means, the meaning of I(p) is very straightforward. The index I is related to the Gini index R and the Bonferroni index B by the relation: R <= B <= I . In section 6 the curves I(p) and the Lorenz curve L(p) for the N = 14026 personal incomes, regarding the Bank of Italy survey on the household expenditure, are reported.

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