The Bonferroni index (BI) and Bonferroni curve (BC) have assumed relief not only in economics to study income and poverty, but also in other fields like reliability, demography, insurance and medicine. Besides, the increasingly frequent comparison with the Lorenz curve (LC) and Gini index (GI) both in theoretical and applied studies has driven us to derive explicit expressions for BI, BC, GI and LC for some thirty five continuous distributions. It is expected that these expressions could provide a useful reference and encourage further research within the aforementioned fields.

Bonferroni and Gini indices for various parametric families of distributions / Giorgi, Giovanni Maria; Saralees, Nadarajah. - In: METRON. - ISSN 0026-1424. - STAMPA. - 68:1(2010), pp. 23-46. [10.1007/bf03263522]

Bonferroni and Gini indices for various parametric families of distributions

GIORGI, Giovanni Maria;
2010

Abstract

The Bonferroni index (BI) and Bonferroni curve (BC) have assumed relief not only in economics to study income and poverty, but also in other fields like reliability, demography, insurance and medicine. Besides, the increasingly frequent comparison with the Lorenz curve (LC) and Gini index (GI) both in theoretical and applied studies has driven us to derive explicit expressions for BI, BC, GI and LC for some thirty five continuous distributions. It is expected that these expressions could provide a useful reference and encourage further research within the aforementioned fields.
bonferroni curve; lorenz curve; continuous distributions; bonferroni index; gini index
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Bonferroni and Gini indices for various parametric families of distributions / Giorgi, Giovanni Maria; Saralees, Nadarajah. - In: METRON. - ISSN 0026-1424. - STAMPA. - 68:1(2010), pp. 23-46. [10.1007/bf03263522]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/39518
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