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Joint decomposition by subpopulations and sources of the point and synthetic Bonferroni inequality measures newdigital
format: Article | STATISTICA & APPLICAZIONI - 2017 - 2
Year: 2017
The total income Y is the sum of c sources Xj : Y = X1 + . . . + Xc: The N units of the population are partitioned in k different subpopulations. In the frequency distribution framework the Bonferroni (1930) point inequality index is given by Vh(Y) = [M(Y) - ̅Mh.(Y)]/M(Y), M(Y) and ̅Mh.(Y)are the mean and the lower mean of Y...
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Some remarks on Zenga’s approach to kurtosis digital
format: Article | STATISTICA & APPLICAZIONI - 2016 - 2
Year: 2016
In this paper, several insights on the Zenga’s approach for the measurement of Kurtosis are provided. These insights mainly regard the connections between Kurtosis and Concentration indexes and the relation between the Kurtosis diagram and an extension of the well-known Lorenz curve, i.e. the relative first incomplete moment function...
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On the decomposition by subpopulations of the point and synthetic Bonferroni inequality measures digital
format: Article | STATISTICA & APPLICAZIONI - 2016 - 1
Year: 2016
This paper, by using the ‘‘two-step’’ approach proposed in Radaelli (2008, 2010) and in Zenga (2016) for the decomposition of the Zenga (2007) index, obtains the decomposition of the Bonferroni (1930) inequality measure. In the first step the Bonferroni point measure Vh(Y) is decomposed in a weighted mean of k x k relative differences between the mean Mg(Y) of subpopulation g and the lower mean Mhl(Y) of the subpopulation l...
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Decomposition by subpopulations of the point and the synthetic Gini inequality indexes digital
format: Article | STATISTICA & APPLICAZIONI - 2016 - 1
Year: 2016
Keywords: Gini Index, Point Inequality Index, Synthetic Inequality Index, Decomposition by Subpopulatios
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Asymptotic properties of some estimators for Gini and Zenga inequality measures: a simulation study digital
format: Article | STATISTICA & APPLICAZIONI - 2015 - 2
Year: 2015
It is well known that unequal income distribution, yielding poverty, stratification and polarization, can be a serious economic and social problem. The reliable inequality analysis of both, total population of households and subpopulations classified by different characteristics, can be a helpful piece of information for economists and social policy- makers. Therefore, it seems especially important to present reliable estimates of income inequality measures for a population of households in different divisions...
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Joint decomposition by subpopulations and sources of the Zenga inequality index I(Y) digital
format: Article | STATISTICA & APPLICAZIONI - 2015 - 2
Year: 2015
Keywords: Zenga Inequality Index, Income Inequality, Joint Decomposition by Subpopulations and Sources, Point and Synthetic Inequality Indexes.
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The reordering variates in the decomposition by sources of inequality indexes digital
format: Article | STATISTICA & APPLICAZIONI - 2015 - 1
Year: 2015
Keywords: Reordering Variate, Income Inequality, Decomposition by Sources, Point Inequality, Uniform Cograduation
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On the distribution of the sum of cograduated discrete random variables with applications to credit risk analysis digital
format: Article | STATISTICA & APPLICAZIONI - 2015 - 1
Year: 2015
This paper focuses on the notion of cograduation which was first introduced in 1939 by the Italian statistician Tommaso Salvemini. In few words, a certain number of random variables are cograduated if they are associated with the maximum positive dependence. Here, it is shown how to derive the probability distribution of the sum of cograduated discrete random variables...
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Zenga distribution: parameters estimation with constraints on synthetic inequality indices digital
format: Article | STATISTICA & APPLICAZIONI - 2014 - 1
Year: 2015
In 2010, Zenga introduced a three-parameter model for distributions by size, with Paretian right-tail and expectation always finite...
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Decomposition by sources of the Gini, Bonferroni and Zenga inequality indexes digital
format: Article | STATISTICA & APPLICAZIONI - 2013 - 2
Year: 2014
Keywords: Inequality, Scale Transformation Matrix, Point Inequality Index, Decomposition...
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A comparison among two generalized beta-mixtures of polisicchio distributions and the zenga model digital
format: Article | STATISTICA & APPLICAZIONI - 2013 - 2
Year: 2014
In this paper, the performances in fitting incomes of three different mixtures of Polisicchio distributions are compared...
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format: Article | STATISTICA & APPLICAZIONI - 2013 - 1
Year: 2013
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