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Autor
Vernizzi Achille (Università degli Studi di Milano, Italy)
Tytuł
Applying the Hadamard Product to Decompose Gini, Concentration, Redistribution and Re-Ranking Indexes
Źródło
Statistics in Transition, 2009, vol. 10, nr 3, s. 505-524, aneks, bibliogr. s. 522-524
Słowa kluczowe
Ekonometria, Statystyka, Współczynnik Giniego, Podatki
Econometrics, Statistics, Gini coefficient, Taxes
Uwagi
summ.
Abstrakt
Gini and concentration indexes are well known useful tools in analysing redistribution and re-ranking effects of taxes with respect to a population of income earners. There are several attempts in the literature to decompose Gini and re-ranking indices to analyse potential redistribution effects and the unfairness of a tax systems, including ones that consider contiguous income groups being created by dividing the pre-tax income parade according to the same bandwidth. However, earners may be very often split into groups characterized by social and demographic aspects or by other characteristics: in these circumstances groups can easily overlap. In this paper we consider a more general situation that takes into account overlapping among groups; we obtain matrix compact forms for Gini and concentration indexes, and consequently, for redistribution and re-ranking indexes. In deriving formulae the so called matrix Hadamard product is extensively used. Matrix algebra allows to write indexes aligning incomes in a non decreasing order either with respect to post-tax income or to pre-tax incomes. Moreover, matrix compact formulae allow an original discussion for the signs of the within group, across group, between and transvariation components into which the Atkinson-Plotnick-Kakwany re-ranking index can split. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Biblioteka Główna Uniwersytetu Ekonomicznego w Poznaniu
Biblioteka Główna Uniwersytetu Ekonomicznego we Wrocławiu
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Bibliografia
Pokaż
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ISSN
1234-7655
Język
eng
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