In this paper, we propose a new test of uniformity on the circle based on the Gini mean difference of the sample arc-lengths, i.e. the gaps between successive observations on the circumference of the circle. These sample arc-lengths are analogous to sample spacings, which are the gaps between successive observations on the real line. Such a Gini mean difference test is analogous to Rao’s spacin...

With the development of the web, large numbers of documents are available on the Internet. Digital libraries, news sources and inner data of companies surge more and more. Automatic text categorization becomes more and more important for dealing with massive data. However the major problem of text categorization is the high dimensionality of the feature space. At present there are many methods ...

In this paper, we propose a new test of uniformity on the circle based on the Gini mean difference of the sample arc-lengths. These sample arc-lengths, which are the gaps between successive observations on the circumference of the circle, are analogous to sample spacings on the real line. The Gini mean difference, which compares these arc-lengths between themselves, is analogous to Rao’s spacin...

This document describes sgini, a lightweight command for calculations of generalized Gini (a.k.a. S-Gini) and Concentration coefficients from unit-record data (not grouped data) in Stata. sgini computes relative (scale invariant) Gini indices of inequality by default but can be requested to produce absolute (translation invariant) indices or aggregate welfare S-Gini indices. The command can als...

Background: Timely access to cardiovascular health services is necessary to prevent heart damages. The present study examined inequality in geographical distribution of cardiovascular health services in Iran. Methods: Present study is a cross-sectional study conducted using demographic data from all Iranian provinces (31 provinces) from 2012 census by the Statistics Center of Iran (SCI). The Gi...

The extended Gini is a family of measures of variability which is mainly used in the areas of finance and income distribution. Each index in the family is defined by specifying one parameter. The higher the parameter, the more weight is attached to the lower portion of the cumulative distribution. In this paper we list and investigate the properties of the equivalents of the correlation coeffic...

The axioms used to characterize the generalized Gini social evaluation orderings for one-dimensional distributions are extended to the multidimensional attributes case. A social evaluation ordering is shown to have a two-stage aggregation representation if these axioms and a separability assumption are satisfied. In the first stage, the distributions of each attribute are aggregated using gener...

Recent insights from the philosopher Larry Temkin have suggested a new basis for the measurement of income inequality, founded on the notion of individual complaints. about income distribution. Under certain specifications of the relationship between complaints and personal incomes it can be shown that a concept similar to the concept of deprivation then emerges. In turn deprivation is related ...

To take into account both ex ante and ex post inequality considerations, one has to deal with inequality and uncertainty simultaneously. Under certainty, much of the literature has focused on ``comonotonically linear'' indices: functionals that are linear on cones of income profiles that agree on the social ranking of the individuals. This family generalizes both the Gini index and the egalitar...

Various authors have proposed using the jackknife technique to approximate a standard error for the Gini coefficient. It has also been shown that the Gini measure can be obtained simply from an artificial OLS regression based on the data and their ranks. Accordingly, we show that obtaining an exact analytical expression for the standard error is a trivial matter. In addition, by extending the r...