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

Two flexible functional form approaches for approximating the Lorenz curve

1996 ◽  
Vol 72 (1-2) ◽  
pp. 251-274 ◽  
Author(s):  
Hang K. Ryu ◽  
Daniel J. Slottje
Keyword(s):  
Lorenz Curve ◽  
Functional Form ◽  
The Lorenz Curve

Revisiting a functional form for the Lorenz curve

2010 ◽  
Vol 107 (2) ◽  
pp. 249-252 ◽  
Author(s):  
José María Sarabia ◽  
Faustino Prieto ◽  
María Sarabia
Keyword(s):  
Lorenz Curve ◽  
Functional Form ◽  
The Lorenz Curve

scholarly journals Functional Form for Estimating the Lorenz Curve

2019 ◽  
Vol 4 (1) ◽  
pp. 17-21
Author(s):  
Bijan Bidabad ◽  
Behrouz Bidabad
Keyword(s):  
Income Distribution ◽  
Lorenz Curve ◽  
Functional Form ◽  
Cumulative Data ◽  
The Lorenz Curve

A flexible Lorenz curve which offers different curvatures allowed by the theory of income distribution is introduced. The intrinsically autoregressive nature of the errors in cumulative data of the Lorenz curve is also under consideration.  

A new functional form for approximating the Lorenz curve

1996 ◽  
Vol 52 (1) ◽  
pp. 21-29 ◽  
Author(s):  
Tomson Ogwang ◽  
U.L Gouranga Rao
Keyword(s):  
Lorenz Curve ◽  
Functional Form ◽  
The Lorenz Curve

A general functional form for approximating the Lorenz curve

1990 ◽  
Vol 43 (1-2) ◽  
pp. 77-90 ◽  
Author(s):  
R.L Basmann ◽  
K.J Hayes ◽  
D.J Slottje ◽  
J.D Johnson
Keyword(s):  
Lorenz Curve ◽  
Functional Form ◽  
The Lorenz Curve

scholarly journals A simple method for estimating the Lorenz curve

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Thitithep Sitthiyot ◽  
Kanyarat Holasut
Keyword(s):  
Income Inequality ◽  
Income Distribution ◽  
Closed Form ◽  
Lorenz Curve ◽  
Gini Index ◽  
Functional Form ◽  
Closed Form Expression ◽  
Form Expression ◽  
Simple Method ◽  
The Lorenz Curve

AbstractGiven many popular functional forms for the Lorenz curve do not have a closed-form expression for the Gini index and no study has utilized the observed Gini index to estimate parameter(s) associated with the corresponding parametric functional form, a simple method for estimating the Lorenz curve is introduced. It utilizes three indicators, namely, the Gini index and the income shares of the bottom and the top in order to calculate the values of parameters associated with the specified functional form which has a closed-form expression for the Gini index. No error minimization technique is required in order to estimate the Lorenz curve. The data on the Gini index and the income shares of four countries that have a different level of income inequality, economic, sociological, and regional backgrounds from the United Nations University-World Income Inequality Database are used to illustrate how the simple method works. The overall results indicate that the estimated Lorenz curves fit the actual observations practically well. This simple method could be useful in the situation where the availability of data on income distribution is low. However, if more data on income distribution are available, this study shows that the specified functional form could be used to directly estimate the Lorenz curve. Moreover, the estimated values of the Gini index calculated based on the specified functional form are virtually identical to their actual observations.

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.

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