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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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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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Minimum sample sizes in asymptotic confidence intervals for Gini’s inequality measure
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format: Article | STATISTICA & APPLICAZIONI - 2008 - 2
Year: 2008
Statistical inference for inequality measures has been of considerable interest in recent years. Income studies often deal with very large samples, hence precision would not seem a serious issue. Yet, in many empirical studies large standard errors are observed (Maasoumi, 1997). Therefore, it is important to provide methodologies to assess whether differences in estimates are statistically significant. This paper presents an analysis of the performance of asymptotic confidence intervals for Gini’s index, virtually the most widely used inequality index. To determine minimum sample sizes assuring a given accuracy in confidence intervals, an extensive simulation study has been carried out. A wide set of underlying distributions has been considered, choosing from specific models for income data. As expected, the minimum sample sizes are seriously affected by some population characteristics as tail heaviness and asymmetry. However, in a wide range of cases, it turns out that they are smaller than sample sizes actually used in social sciences.
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Minimum sample sizes for confidence intervals for Gini’s mean difference: a new approach for their determination
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digital
format: Article | STATISTICA & APPLICAZIONI - 2007 - 1
Year: 2007
The sample mean difference  is an unbiased estimator of Gini’s mean difference A. It is well known that  is asymptotically normally distributed (Hoeffding, 1948). In order to obtain confidence intervals for A,  must be standardized and hence its variance Var(Â) must be estimated. In this paper we study the effective coverage of the confidence intervals for A, when using a specific unbiased estimator ^ Var(Â) for the variance of Â, in a non-parametric framework. The empirical determination of the minimum sample size required to reach a good approximation of the nominal coverage is analyzed through a new approach. The reported results show that this threshold is critically related to the asymmetry and the tail heaviness in the underlying distribution.
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Extensions of Dagum’s Gini decomposition digital
format: Article | STATISTICA & APPLICAZIONI - 2006 - Special issue 2
Year: 2006
The purpose of this paper is to extend Dagum’s Gini decomposition (“A New Approach to the Decomposition of the Gini Income Inequality Ratio”, Empirical Economics 22(4), 515-531, 1997a) following three types of theoretical modelisations.
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Selecting the most diverse population using Gini measure of income inequality digital
format: Article | STATISTICA & APPLICAZIONI - 2006 - Special issue 2
Year: 2006
A variety of measures are used to compare income inequalities, many of which have been derived from Lorenz curve. However, classical Gini coefficient and its variations are probably the most commonly used measures of income inequality. They are considered as the best measures by many scientists, but it is also recognized that the choice of age-grouping affects the Gini measures (Formby, et al.1989). Bhattacharya and Mahalanobis (1967) recognized that because income distributions overlap extensively, the effect of age group on inequality is overestimated. Many procedures are available for ordering and ranking income distributions where the ordering is not linear. However, the researchers often are not interested in ordering the populations but selecting the best (or worst) of available populations indicating a lower (or higher) level of disparities in incomes within the population. This paper will discuss the approximation to the sampling distribution of Gini Measure of inequality and selection of a population with most diversity in its constituents as measured by it. Keywords: Selection procedure, Least favorable configuration, probability of correct selection, Gini coefficient.
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Development of a few new Generalized Lorenz Curves and Associated Gini Coefficients and its Application to Pakistan Domestic Consumption Data digital
format: Article | STATISTICA & APPLICAZIONI - 2006 - Special issue 2
Year: 2006
There are several functional forms of Lorenz curves and corresponding Gini coefficients.
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Some developments about a new nonparametric test based on Gini’s mean difference digital
format: Article | STATISTICA & APPLICAZIONI - 2006 - Special issue 1
Year: 2006
In this paper the performance of a new nonparametric test proposed by Borroni and Zenga (2003) for the independence of two criteria is discussed.
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Exact Distribution of the Gini Concentration Index from a Skew-Normal Sample digital
format: Article | STATISTICA & APPLICAZIONI - 2006 - Special issue 1
Year: 2006
In this paper we demonstrate that the exact sampling distribution of the Gini Concentration Index from a skew-normal is a fundamental skew-normal distribution.
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Binary segmentation methods based on Gini index: a new approach to the multidimensional analysis of income inequalities digital
format: Article | STATISTICA & APPLICAZIONI - 2006 - Special issue 1
Year: 2006
In this paper we propose to study the effect of socio-demographic and geographical characteristics on subgroup differences by developing a non parametric regression model for income inequalities, based on recursive partitioning methods.
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Gini’s cograduation index for the estimation of the coefficients of a quadratic regression model digital
format: Article | STATISTICA & APPLICAZIONI - 2006 - 2
Year: 2006
Least square estimates of regression parameters may become unreliable when some outliers affect the data. This fact forces to search for different methods of estimation, some of which consist of substituting ranks to observations to avoid influences by extremes values.
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