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

scholarly journals The Advantages of Using Group Means in Estimating the Lorenz Curve and Gini Index From Grouped Data

2016 ◽  
Vol 70 (1) ◽  
pp. 25-32 ◽  
Author(s):  
Merritt Lyon ◽  
Li C. Cheung ◽  
Joseph L. Gastwirth
Keyword(s):  
Lorenz Curve ◽  
Gini Index ◽  
Grouped Data ◽  
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.

scholarly journals Rural Livelihood Transformations and Land Inequality in Bangka

2020 ◽  
Vol 5 (3) ◽  
Author(s):  
Westi Utami ◽  
M. Nazir Salim ◽  
Kistie Lendra Octora ◽  
Kholfa Anisa
Keyword(s):  
Lorenz Curve ◽  
Gini Index ◽  
Large Scale ◽  
Land Ownership ◽  
Colonial Era ◽  
Land Inequality ◽  
Rural Livelihood ◽  
The Lorenz Curve ◽  
Index Ratio ◽  
High Level

Since the Dutch colonial era, Bangka Belitung Province has been a rich province due to its abundanttin mining resources. However, the limitation of tin availability and the extraordinary environmental degradation caused by mining has changed people’s lives. This study aims to determine the level of land ownership inequality and the factors that influence such inequality. In addition, this study also describes the transformation causes of the livelihoods of the majority of the population in Bangka. This research was conducted through descriptive quantitative analysis, and the data was obtained through a survey of 140 head of households whowork as farmers or work as a farm labourers in Bangka and West Bangka. Analysisof land ownership inequality is done through the Gini index ratio measured using the Lorenz curve. The results of a study conducted on 140 respondents in Bangka and Bangka Barat show that the level of land ownership inequality reaches 0.45. Several things have an effect on the level of inequality. First, most of Bangka regions, almost 3/4 the areas have mining permits. Second, there has been a large-scale expansion of oil palm plantations and a lot of Cultivation Rights Permits/HGU. Third, most of the areas outside the mining and the cultivation rights permits are forest areas. The results of the study also show that the majority of the community shifted from miners to farmers due to limited tin sources and low tin prices. The high level of inequality in land ownership and the shifting of community’s main jobs can certainly affect the economic growth which is getting weaker and widening the inequality.

Minor Concentration Ratios for the Bounds of the Gini Index

2004 ◽  
Author(s):  
Tomson Ogwang
Keyword(s):  
Gini Index ◽  
Concentration Ratio ◽  
The United States ◽  
Grouped Data ◽  
Lower And Upper Bounds ◽  
Income Distributions ◽  
The Lorenz Curve ◽  
Distribution Studies ◽  
Minor Concentration ◽  
Concentration Ratios

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.

Gini Index; Lottery Lunacy

2012 ◽  
Vol 106 (2) ◽  
pp. 92-94
Author(s):  
Lawrence M. Lesser
Keyword(s):  
Lorenz Curve ◽  
Gini Index ◽  
Income Disparity ◽  
The Media ◽  
The Lorenz Curve

Students analyze items from the media to answer mathematical questions related to the article. The Lorenz curve and income disparity are discussed, and some popular misconceptions about the lottery are debunked.

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