Vita e Pensiero
Clustering countries according to the world happiness report
digital
Year:
2020
The World Happiness Report (WHR) has drawn international attention since the first initiative in 2012 as it can help the policy makers to evaluate their policy options. There are six factors to describe the variation of the happiness across the countries, i.e., gross domestic product per capita, social support, healthy life expectancy, freedom to make life choices, perception of corruption, and generosity...
Generalized Alpha Skew Normal Distribution
digital
Year:
2020
This paper extends the work of Elal-Olivero (2010) on the alpha-skew normal distribution. The extension is a multivariate version of Elal-Olivero’s univariate case. Then we study the statistical properties of the new extension such as marginal and conditional distribution, closure under convolution with normal random variate. Furthermore, we illustrate the performance of the distribution using simulated data obtained from the generalized distribution via the Metropolis-Hasting algorithm...
Flexible bivariate generalized Pareto models
digital
Year:
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...
Deprivation, satisfaction and dual expressions of Gini related
measures of inequality, mobility and convergence
digital
Year:
2020
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...
A joint decomposition of the Zenga-84 inequality index
digital
Year:
2020
This paper provides a multi-decomposition (or joint decomposition) of the Zenga-84 inequality index, considering simultaneously different sources and subpopulations. The suggested procedure consists of two different stages: in the first one, each inequality pointwise measure is decomposed by sources and by subpopulations; in the second one, the decomposition of the synthetic index is obtained, by averaging the previously decomposed pointwise measures...
The joint decomposition of the Pietra index
digital
Year:
2020
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.
Decomposition by subpopulations of Gini, Bonferroni
and Zenga inequality measures
digital
Year:
2020
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...
Density-weighted quantile regression
digital
Year:
2020
This study proposes a new weighted quantile regression method through the introduction of weights based on a recursive estimation of the density function of residuals. The new estimators are strictly related to the quantity quantile method introduced by Radaelli and Zenga in 2006...
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digital
Year:
2021
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A Data-Driven Approach to Multivariate Monte Carlo Simulation
Application of Nonparametric Stability Methods in Chickpea (Cicer Arietinum L.) Crop Under Diverse Environments
Application of Nonparametric Stability Methods in Chickpea (Cicer Arietinum L.) Crop Under Diverse Environments
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