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On the Link Between Silber and Dagum Decompositions of The Gini Index

100%
Mussini M.
Statistics in Transition new series
|
2010
|
vol. 11
|
issue 3
169-186
EN
In this paper, we combine two alternative procedures for decomposing the Gini index: the Silber matrix approach and the Dagum technique based on Gini mean difference. This combined decomposition can be used for overlapping as well as no overlapping population subgroups. The presented decomposition procedure derives the within-group, the between-group, and the overlapping inequalities by exploiting all of the information on income distribution contained in one matrix accounting for pair wise disparities between per capita income shares. Moreover, this matrix approach can serve the scope of counting the frequency of overlapping, providing new insights for a more complete analysis of overlapping. The suggested methodology is applied to survey data on Italian employee incomes in 2000 and 2008.
2

Income and Expenditure Inequalities among Households in Poland

63%
Ostasiewicz K.
Argumenta Oeconomica Cracoviensia
|
2018
|
issue 19
35-63
EN
Stratification and its inverse concept, overlapping, are strictly connected with inequality, playing an essential role in one kind of decomposition of the Gini index. Properties of overlapping indexes are investigated in this paper. Decomposition of inequalities in Poland (of incomes, expenditures, and their difference), which includes the overlapping-due term, is performed and analysed.
PL
Stratyfikacja oraz pojęcie do niej odwrotne, przekrywanie, są ściśle powiązane z miarami nierówności i odgrywają kluczową rolę w jednym ze sposobów dekompozycji współczynnika Giniego. W niniejszej pracy badane są własności współczynników przekrywania. Analizowana jest dekompozycja nierówności w Polsce (przychodów, rozchodów oraz różnic pomiędzy przychodami i rozchodami gospodarstw domowych), w której pojawia się człon zależny od przekrywania się rozkładów dla poszczególnych grup.
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