Vita e Pensiero

Primo fascicolo del 2020

The hierarchy of Pareto models, described in a paper written by Arnold in 2015, admit representations in terms of independent gamma variables. Utilizing general bivariate beta(2) models introduced in a paper written by Arnold and Ng in 2011, which also involve independent gamma components, it is possible to identify flexible bivariate generalized Pareto models which can exhibit a wide range of correlation values...

This paper starts by presenting simple ways of computing the Gini index. We emphasize the dual ways of defining the Gini index and the possibility of expressing this index in terms of deprivation and satisfaction. These additional interpretations are then extended to the measurement of distributional change and convergence...

In this paper, a multi-decomposition of the Pietra index is presented. This innovative methodology allows to achieve a relevant task, since it combines simultaneously the two most celebrated kinds of decomposition: by sources and by subpopulations. The key result of the proposed procedure is the detail level of decomposition: it allows to split the value of the index, by assessing the contribution of each source in each subpopulation. It is worth noting that this final result is not reached by all the decomposition procedures, since most of them do not permit to identify the contributions at so detailed level. The proposed joint decomposition is a sort of generalization, since from it two decompositions by sources and by subpopulations of the Pietra index, already proposed in the literature, can be obtained. Beyond the methodological details, an application based on the Survey Household Income and Wealth 2018 – carried out by Bank of Italy – is provided in order to clarify the advantages of the procedure.

This paper presents a common framework for the decompositions by subpopulations of Gini, Bonferroni and Zenga synthetic inequality measures. These three synthetic indexes are the weighted arithmetic means of the corresponding point measures and applying the Zenga two-step approach, decompositions based on means comparison are obtained. In the first step additive decompositions are derived for the point indexes and in the second step, using the decompositions of the point measures, we obtain the decompositions by subpopulations of the synthetic indexes...

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Secondo fascicolo del 2019