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The Gini coefficient reveals more∗
, 2005
"... We revisit the wellknown decomposition of the Gini coefficient into betweengroups, withingroups and overlap terms in the context of two groups in which the incomes in one group may be scaled and that group’s population weight modified. In this more general setting than usual, we focus on the prop ..."
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We revisit the wellknown decomposition of the Gini coefficient into betweengroups, withingroups and overlap terms in the context of two groups in which the incomes in one group may be scaled and that group’s population weight modified. In this more general setting than usual, we focus
Selection using Gini Measure of Income Inequality
"... Abstract: 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 scien ..."
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scientists, but it is also recognized that the choice of agegrouping 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
Linking Yitzhaki’s and Dagum’s Gini Decompositions
, 2009
"... In this article we show that the Gini coefficient is simultaneously decomposable both by sources of income and by populations of income receivers for nonoverlapping income distributions: the socalled firstbest Gini multidecomposition. We show that this multidimensional decomposition is useful fo ..."
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In this article we show that the Gini coefficient is simultaneously decomposable both by sources of income and by populations of income receivers for nonoverlapping income distributions: the socalled firstbest Gini multidecomposition. We show that this multidimensional decomposition is useful
ABC Amount, Barycentre and Concentration (Gini/Lorenz who?)
"... Concentration is frequently measured with Gini's index and represented graphically with Lorenz's concentration area. This paper introduces an alternative measure, ABC (Amount, Barycentre and Concentration), based on the measurement of the barycentre in an ordered, but not cumulated, freque ..."
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be applied also when the character is not entirely transferable, and 4) in the presence of population subgroups, ABC makes it easier to decompose Gini's index into basic elements (between, within, and overlapping). Formal proofs and textbook examples are presented for each case. An application to actual
Decomposition of Gini and the generalized entropy inequality measures
"... In this article we provide an overview of the Gini decomposition and the generalized entropy inequality measures, a free access to their computation, an application on French wages, and a different way than Dagum to demonstrate that the Gini index is a more convenient measure than those issued from ..."
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In this article we provide an overview of the Gini decomposition and the generalized entropy inequality measures, a free access to their computation, an application on French wages, and a different way than Dagum to demonstrate that the Gini index is a more convenient measure than those issued from
A Gini Autocovariance Function for Time Series Modeling
, 2014
"... fully acknowledged. A key conceptual and methodological tool in time series modeling is the autocovariance function, which, however, presupposes finite variances and excludes heavy tailed distributions and data. To allow for the latter, which are increasingly of interest in modern statistics, this ..."
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, this paper introduces a “Gini autocovariance function ” defined under merely first order moment assumptions. Playing roles similar to those of the usual autocovariance function, it provides a new fundamental tool for nonparametric description and modeling of time series. It is seen how to fit autoregressive
November 2007Reliable Inference for the Gini Index by
, 2009
"... Although attention has been given to obtaining reliable standard errors for the plugin estimator of the Gini index, all standard errors suggested until now are either complicated or quite unreliable. An approximation is derived for the estimator by which it is expressed as a sum of IID random variab ..."
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Although attention has been given to obtaining reliable standard errors for the plugin estimator of the Gini index, all standard errors suggested until now are either complicated or quite unreliable. An approximation is derived for the estimator by which it is expressed as a sum of IID random
October 2009Reliable Inference for the Gini Index by
, 2009
"... Although attention has been given to obtaining reliable standard errors for the plugin estimator of the Gini index, all standard errors suggested until now are either complicated or quite unreliable. An approximation is derived for the estimator by which it is expressed as a sum of IID random variab ..."
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Although attention has been given to obtaining reliable standard errors for the plugin estimator of the Gini index, all standard errors suggested until now are either complicated or quite unreliable. An approximation is derived for the estimator by which it is expressed as a sum of IID random
Disservice Representation Using the Gini Coefficient in Semidesirable Facility Location Problems
, 2011
"... Disservice representation using the Gini coefficient in semidesirable facility location problems ..."
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Disservice representation using the Gini coefficient in semidesirable facility location problems
Depression and cognition: New insights from the Lorenz Curve and the Gini Index
 International Journal of Health Psychology
, 2007
"... ABSTRACT. This ex post facto prospective study reports the use of statistical techniques known as the Lorenz curve and Gini index to analyze the content of depressive cognitions as a function of attributional negative style (i.e., internal, global and stable causal attributions for failure or negati ..."
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ABSTRACT. This ex post facto prospective study reports the use of statistical techniques known as the Lorenz curve and Gini index to analyze the content of depressive cognitions as a function of attributional negative style (i.e., internal, global and stable causal attributions for failure
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6,264