Bonferroni and Gini indices for various parametric families of distributions

被引:24
作者
Giorgi G.M. [1 ]
Nadarajah S. [2 ]
机构
[1] Dipartimento di Statistica, Probabilità e Statistiche Applicate, Sapienza Università di Roma, 00185 Roma, Piazzale A. Moro
[2] School of Mathematics, University of Manchester
关键词
Bonferroni curve; Bonferroni index; Continuous distributions; Gini index; Lorenz curve;
D O I
10.1007/BF03263522
中图分类号
学科分类号
摘要
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.
引用
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页码:23 / 46
页数:23
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