Talk:Gini coefficient

This is the talk page for discussing improvements to the Gini coefficient article.
This is not a forum for general discussion of the article's subject.

Put new text under old text. Click here to start a new topic.
New to Wikipedia? Welcome! Learn to edit; get help.

Article policies

Find sources: Google (books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL

Archives: 1, 2, 3: 3 months

Mathematics Mid‑priority

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
Mid	This article has been rated as Mid-priority on the project's priority scale.

Economics Mid‑importance

	Business and economics portal This article is within the scope of WikiProject Economics, a collaborative effort to improve the coverage of Economics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.EconomicsWikipedia:WikiProject EconomicsTemplate:WikiProject EconomicsEconomics articles
Mid	This article has been rated as Mid-importance on the project's importance scale.

Sociology High‑importance

	Society portal This article is within the scope of WikiProject Sociology, a collaborative effort to improve the coverage of sociology on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.SociologyWikipedia:WikiProject SociologyTemplate:WikiProject Sociologysociology articles
High	This article has been rated as High-importance on the project's importance scale.

Statistics Low‑importance

	This article is within the scope of WikiProject Statistics, a collaborative effort to improve the coverage of statistics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.StatisticsWikipedia:WikiProject StatisticsTemplate:WikiProject StatisticsStatistics articles
Low	This article has been rated as Low-importance on the importance scale.

Globalization Mid‑importance

	This article is within the scope of WikiProject Globalization, a collaborative effort to improve the coverage of Globalization on Wikipedia. If you would like to participate, you can edit the article attached to this page, or visit the project page, where you can join the project and see a list of open tasks.GlobalizationWikipedia:WikiProject GlobalizationTemplate:WikiProject GlobalizationGlobalization articles
Mid	This article has been rated as Mid-importance on the project's importance scale.

List of countries[edit]

Would love to see a list of countries by Gini Coefficient. Surprised there isn't one already. Doughbo (talk) 02:53, 17 May 2023 (UTC)[reply]

Wikipedia has a list of sovereign states by wealth inequality and a list of countries by income inequality, & both include their respective Gini coefficients. 124.169.81.74 (talk) 05:31, 26 July 2023 (UTC)[reply]

Formula for the Gini coefficient[edit]

It seems to me the current formula in the article might be slightly incorrect. Here is the current formula:

G={\frac {\displaystyle {\sum _{i=1}^{n}\sum _{j=1}^{n}\left|x_{i}-x_{j}\right|}}{\displaystyle {2\sum _{i=1}^{n}\sum _{j=1}^{n}x_{j}}}}={\frac {\displaystyle {\sum _{i=1}^{n}\sum _{j=1}^{n}\left|x_{i}-x_{j}\right|}}{\displaystyle {2n\sum _{j=1}^{n}x_{j}}}}={\frac {\displaystyle {\sum _{i=1}^{n}\sum _{j=1}^{n}\left|x_{i}-x_{j}\right|}}{\displaystyle {2n^{2}{\bar {x}}}}}

Specifically, the current numerator suggests it would include each person's difference from themself, i.e., $x_{i}-x_{j}$ , where $i=j$ . However, if $j$ is defined as the set of all other persons who aren't $i$ , then the upper limit of $j$ 's index ought to be $n-1$ . Thus, I believe the numerator ought to be:

\displaystyle {\sum _{i=1}^{n}\sum _{j=1}^{n-1}\left|x_{i}-x_{j}\right|}

Moreover, I propose that the article be updated to explicitly define $j$ .

Lastly, I'm not sure whether the denominator needs any updating. MosesRivera100 (talk) 19:07, 7 September 2023 (UTC)[reply]

Using same projection for wealth and income Gini maps[edit]

Using the the same projection would allow for easy comparisons between wealth and income Ginis Mrsmrmrmrs (talk) 13:55, 18 January 2024 (UTC)[reply]

This edit request by an editor with a conflict of interest was declined.

What I think should be changed: Although both Gini coefficients are defined as areas between certain curves and share certain properties, there is no simple direct relationship between the Gini coefficient of statistical dispersion and the Gini coefficient of a classifier.
Why it should be changed: Both Gini coefficients are defined as areas between certain curves, and in the case of known ratio of "event" to "non-event" in the data there is a simple relationship between them. G_t = G_n/(1+α). G_t is the traditional measure of statistical dispersion, G_n is the new measure for binary classifier, and α is the ratio between events to non events in the data.
References supporting the possible change (format using the "cite" button):On the connection of two GINI coefficients by Michael Roginsky https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4715030

Rogmike (talk) 19:11, 27 February 2024 (UTC)[reply]

References

Not done: Rogmike, source displays the following: SSRN Search Results

This paper has been removed from SSRN at the request of the author, SSRN, or the rights holder. ARandomName123 (talk)^{Ping me!} 01:45, 4 March 2024 (UTC)[reply]

ARAndomName123,

Thank you for looking into my minor edit. the article I put on SSRN was taken out due to formality (they need my name on the first page of the PADF file). I will resubmit it shortly. If you prefer I can send it to you directly, so you can check the formulas (rather tedious but elementary).

Rogmike Rogmike (talk) 16:46, 4 March 2024 (UTC)[reply]

ARandomName123, The article is back on SSRN website, same abstract #. Rogmike (talk) 16:37, 5 March 2024 (UTC)[reply]