scholarly journals Quantile versions of the Lorenz curve

2016 ◽  
Vol 10 (2) ◽  
pp. 1896-1926 ◽  
Author(s):  
Luke A. Prendergast ◽  
Robert G. Staudte
Keyword(s):  
Lorenz Curve ◽  
The Lorenz Curve

The Contest for Olympic Success as a Public Good

2013 ◽  
Author(s):  
Loek Groot
Keyword(s):  
Lorenz Curve ◽  
Gini Index ◽  
World Population ◽  
Level Playing Field ◽  
Actual Distribution ◽  
Playing Field ◽  
Inequality Measures ◽  
The Rich ◽  
The Lorenz Curve ◽  
Rich Countries

In this study it is demonstrated that standard income inequality measures, such as the Lorenz curve and the Gini index, can successfully be applied to the distribution of Olympic success. Olympic success is distributed very unevenly, with the rich countries capturing a disproportionately higher share compared to their world population share, which suggests that the Olympic Games do not provide a level playing field. The actual distribution of Olympic success is compared with alternative hypothetical distributions, among which are chosen the distribution according to population shares, the welfare optimal distribution under the assumption of zero government expenditures, and the non-cooperating Nash-Cournot distribution. By way of conclusion, a device is proposed to make the distribution of Olympic success more equitable.

Functional Form for Estimating the Lorenz Curve

Econometrica ◽  
1984 ◽  
Vol 52 (5) ◽  
pp. 1313 ◽  
Author(s):  
Manash Ranjan Gupta
Keyword(s):  
Lorenz Curve ◽  
Functional Form ◽  
The Lorenz Curve

The Interpolation of the Lorenz Curve and Gini Index from Grouped Data

Econometrica ◽  
1976 ◽  
Vol 44 (3) ◽  
pp. 479 ◽  
Author(s):  
Joseph L. Gastwirth ◽  
Marcia Glauberman
Keyword(s):  
Lorenz Curve ◽  
Gini Index ◽  
Grouped Data ◽  
The Lorenz Curve

Is Housing Really Unaffordable?

2020 ◽  
pp. 17-38
Author(s):  
Geoffrey Meen ◽  
Christine Whitehead
Keyword(s):  
Low Income ◽  
Lorenz Curve ◽  
Residual Income ◽  
The Lorenz Curve ◽  
First Time ◽  
The Relationship ◽  
Different Levels

Most UK households do not face affordability difficulties; those most affected are typically low-income renters and aspiring first-time buyers. However, popularly-used affordability indicators look at the average household position across the country, rather than the distribution across households. Therefore, Chapter 2 discusses the strengths and weaknesses of different affordability measures, including the popular price to earnings or income ratios, the share of expenditure taken by housing and residual income methods. The chapter is critical of these measures and, therefore, proposes two new indicators that provide more information: the first examines the relationship between housing stress and expenditure shares for low-income renters; the second constructs a version of the Lorenz curve for aspiring first-time buyers and shows the proportion of houses that could be afforded by households with different levels of income around the country.

scholarly journals Asymptotic Results in Broken Stick Models: The Approach via Lorenz Curves

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 625
Author(s):  
Gheorghiță Zbăganu
Keyword(s):  
Lorenz Curve ◽  
Convergent Sequence ◽  
Deterministic Case ◽  
Asymptotic Results ◽  
Lorenz Curves ◽  
The Lorenz Curve

A stick of length 1 is broken at random into n smaller sticks. How much inequality does this procedure produce? What happens if, instead of breaking a stick, we break a square? What happens asymptotically? Which is the most egalitarian distribution of the smaller sticks (or rectangles)? Usually, when studying inequality, one uses a Lorenz curve. The more egalitarian a distribution, the closer the Lorenz curve is to the first diagonal of [ 0 , 1 ] 2 . This is why in the first section we study the space of Lorenz curves. What is the limit of a convergent sequence of Lorenz curves? We try to answer these questions, firstly, in the deterministic case and based on the results obtained there in the stochastic one.

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