scholarly journals Gintropy: Gini Index Based Generalization of Entropy

Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 879
Author(s):  
Tamás S. Biró ◽  
Zoltán Néda
Keyword(s):  
Shannon Entropy ◽  
Lorenz Curve ◽  
Gini Index ◽  
The Other ◽  
Other Hand ◽  
The Lorenz Curve ◽  
Interesting Analogy

Entropy is being used in physics, mathematics, informatics and in related areas to describe equilibration, dissipation, maximal probability states and optimal compression of information. The Gini index, on the other hand, is an established measure for social and economical inequalities in a society. In this paper, we explore the mathematical similarities and connections in these two quantities and introduce a new measure that is capable of connecting these two at an interesting analogy level. This supports the idea that a generalization of the Gibbs–Boltzmann–Shannon entropy, based on a transformation of the Lorenz curve, can properly serve in quantifying different aspects of complexity in socio- and econo-physics.

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.

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 Measuring seasonality at the major spa towns of Hungary

2019 ◽  
Vol 68 (4) ◽  
pp. 391-403 ◽  
Author(s):  
Gergely Marton ◽  
Mátyás Hinek ◽  
Róbert Kiss ◽  
János Csapó
Keyword(s):  
Gini Index ◽  
Quantitative Research ◽  
Tourism Development ◽  
The Other ◽  
Health Tourism ◽  
Other Hand ◽  
Central Statistical ◽  
Central Statistical Office ◽  
Spa Towns

One of the leading tourism products of Hungary is health tourism, where the certain supply segments are influenced by seasonality in different scales. The primary aim of our paper is to survey the seasonality of the 9 spas with the greatest turnover in Hungary with the help of the Gini index. Our research intends to provide an actual picture about the exact measure of seasonality in the highlighted spas of Hungary, due to the overall actuality of the problem and also because no such relevant quantitative research has been dealing with this issue in Hungary yet. The objective reason why these spas were chosen and surveyed is because first of all they are mono profile health tourism centres, where tourists are visiting the settlement exclusively because of the spas, and on the other hand the visitor turnover of the mentioned settlements are significantly higher than the following Hungarian spa towns. We believe that the more we understand seasonality the more we can face with its challenges concerning tourism development. For our seasonality analysis we used the commercial accommodation statistics of the Hungarian Central Statistical Office and to estimate the Gini index we applied the monthly dataset of the guest nights.

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.

scholarly journals Analysis of Seasonal Data Using the Lorenz Curve and the Associated Gini Index

1996 ◽  
Vol 25 (2) ◽  
pp. 426-434 ◽  
Author(s):  
WEN-CHUNG LEE
Keyword(s):  
Lorenz Curve ◽  
Gini Index ◽  
The Lorenz Curve ◽  
Seasonal Data

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

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.

Estimating the Lorenz curve and Gini index with right censored data: a Polya tree approach

METRON ◽  
2013 ◽  
Vol 71 (2) ◽  
pp. 105-122 ◽  
Author(s):  
Chiara Gigliarano ◽  
Pietro Muliere
Keyword(s):  
Censored Data ◽  
Lorenz Curve ◽  
Gini Index ◽  
Right Censored Data ◽  
Polya Tree ◽  
The Lorenz Curve ◽  
Tree Approach
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