The celebrated Gini(-Simpson) biodiversity index has found very useful applications in ecology, bio-environmetrics, econometry, psychometry, genetics, and lately in bioinformatics as well. In such applications, mostly, categorical data models, without possibly an ordering of the categories, crop up, which may preempt routine use of conventional measures of quantitative diversity analysis. Furth...

Income inequality typically declines with the length of time taken into account for measurement. This note derives an exact analytical relationship between the accounting period and inequality as measured by the Gini index. The relationship is similar to the decomposition of the coefficient of variation. The methodology is illustrated with panel data on urban wages from Mexico. It is found that...

I report estimates for a fixed-effects model of country-level Gini coefficients as a function of economic freedom along with relevant control variables. Gini coefficients are drawn from the UNU/WIDER World Income Inequality Database Version 2.0a, while economic freedom is measured by the Fraser Institute’s Economic Freedom of the World index. Controls are included for per capita income, politic...

In the modern age of computing, sparse and irregularity in a sample of data is needed for reconstruction of the large and different types of dimensions of data. However, there is a challenge to analyze this type of data. One issue is the robust selection of data. There are many analytical tools are available but crucial part is the decomposition, and make the clusters as well as gradient estima...

We study the heterogeneity of social interaction profiles among individuals and define the extent of the interaction dimension of segregation. An interaction profile quantifies the probabilities that one individual has to interact with different social groups. It can be inferred, for instance, from observation of social ties through networks data. Heterogeneity is minimal if everybody exhibit t...

The total irregularity of a graph G is defined as 〖irr〗_t (G)=1/2 ∑_(u,v∈V(G))▒〖|d_u-d_v |〗, where d_u denotes the degree of a vertex u∈V(G). In this paper by using the Gini index, we obtain the ordering of the total irregularity index for some classes of connected graphs, with the same number of vertices.

We present two novel approaches to initiating unsupervised segmentation of digital images using an algorithm that utilises the concept of information theory. The first approach uses Information Gain and the second is based on the Gini Index. In the two approaches, Information Gain and the Gini Index are calculated locally, at a pixel level, resulting in a G-image where high G value occurs at co...

The paper analyses the impact of geographic innovation on Total Factor Productivity (TFP) in Taiwan in 2001 using 242 four-digit standard industrial classification (SIC) industries. We compute TFP by estimating Translog production functions with K, L, E and M inputs, and measure the geographic innovative activity using both Krugman's Gini coefficients and the location Herfindahl index. We also ...

This article analyzes the determinants of market income distribution and governmental redistribution. The dependent variables are LIS data on market income inequality (measured by the Gini index) for households with a head aged 25 to 59 and the percent reduction in the Gini index by taxes and transfers. We test the generalizability of the Goldin/Katz hypothesis that inequality has increased in ...