# On the decomposition by sources of the Zenga 1984 point and synthetic inequality indexes

## Author

Listed:
• Alberto Arcagni

() (University of Milan - Bicocca)

## Abstract

Abstract In this work we provide a decomposition by sources of the inequality index $$\zeta$$ ζ defined by Zenga (Giornale degli Economisti e Annali di economia 43(5–6):301–326, 1984). The source contributions are obtained with the method proposed in Zenga et al. (Stat Appl X(1):3–31, 2012) and Zenga (Stat Appl XI(2):133–161, 2013), that allows to compare different inequality measures. This method is based on the decomposition of inequality curves. To apply this decomposition to the index $$\zeta$$ ζ and its inequality curve, we adapt the method to the “cograduation” table. Moreover, we consider the case of linear transformation of sources and analyse the corresponding results.

## Suggested Citation

• Alberto Arcagni, 2017. "On the decomposition by sources of the Zenga 1984 point and synthetic inequality indexes," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 26(1), pages 113-133, March.
• Handle: RePEc:spr:stmapp:v:26:y:2017:i:1:d:10.1007_s10260-016-0360-0
DOI: 10.1007/s10260-016-0360-0
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## References listed on IDEAS

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1. Shorrocks, A F, 1982. "Inequality Decomposition by Factor Components," Econometrica, Econometric Society, vol. 50(1), pages 193-211, January.
2. Lerman, Robert I. & Yitzhaki, Shlomo, 1984. "A note on the calculation and interpretation of the Gini index," Economics Letters, Elsevier, vol. 15(3-4), pages 363-368.
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### Keywords

Inequality index; Inequality curve; Decomposition by sources; Pointwise decomposition; Cograduation table; Linear transformation;

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