A new computational approach for estimation of the Gini index based on grouped data

Author(s):  
Tatjana Miljkovic ◽  
Ying-Ju Chen
Econometrica ◽  
1976 ◽  
Vol 44 (3) ◽  
pp. 479 ◽  
Author(s):  
Joseph L. Gastwirth ◽  
Marcia Glauberman

Author(s):  
Tomson Ogwang

The minor concentration ratio is used to supplement the Gini index in income distribution studies. The appeal of the minor concentration ratio stems form the fact that it examines the relative position of the “poor”, an important focus group in the analysis of income distributions. In this note, minor concentration ratios associated with the lower and upper bounds of the Gini index are derived based on the observed points of the Lorenz curve. When the two minor concentration ratios are computed using grouped data for the United States, they turn out to be fairly close.


2016 ◽  
Vol 70 (1) ◽  
pp. 25-32 ◽  
Author(s):  
Merritt Lyon ◽  
Li C. Cheung ◽  
Joseph L. Gastwirth

2012 ◽  
Vol 66 (4) ◽  
pp. 225-231 ◽  
Author(s):  
Yves Tillé ◽  
Matti Langel

2018 ◽  
Vol 49 (2) ◽  
pp. 526-561 ◽  
Author(s):  
Youri Davydov ◽  
Francesca Greselin

The observed increase in economic inequality, where the major concern is relative to the huge growth of the highest incomes, motivates to revisit classical measures of inequality and to offer new ways to synthesize the variability of the entire income distribution. The idea is to provide policy makers a way to contrast the economic position of the group of the poorer [Formula: see text] percent of the population and to compare their mean income to the one owned by the [Formula: see text] percent of the richest. The new measure is still a Lorenz-based one, but the significant focus is based here in equally sized and opposite parts of the population whose difference is so remarkable nowadays. We then highlight the specific information given by the new inequality measure and curve, by comparing it to the widely employed Lorenz curve and Gini index and the more recent Zenga approach, and provide an application to Italian data on household income, wealth, and consumption along the years 1980–2012. The effects of estimating inequality indices and curves from grouped data are also discussed.


Author(s):  
S. Nakahara ◽  
D. M. Maher

Since Head first demonstrated the advantages of computer displayed theoretical intensities from defective crystals, computer display techniques have become important in image analysis. However the computational methods employed resort largely to numerical integration of the dynamical equations of electron diffraction. As a consequence, the interpretation of the results in terms of the defect displacement field and diffracting variables is difficult to follow in detail. In contrast to this type of computational approach which is based on a plane-wave expansion of the excited waves within the crystal (i.e. Darwin representation ), Wilkens assumed scattering of modified Bloch waves by an imperfect crystal. For localized defects, the wave amplitudes can be described analytically and this formulation has been used successfully to predict the black-white symmetry of images arising from small dislocation loops.


Author(s):  
Elizabeth S Baranowski ◽  
Sreejita Ghosh ◽  
Cedric HL Shackleton ◽  
Angela E Taylor ◽  
Beverly A Hughes ◽  
...  

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