Implement Lorenz asymmetry coefficient as a metric of distribution of participation

[javiag]

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It seems that could provide insight about the origin of the inequality: " If the LAC is less than 1, the inequality is primarily due to the relatively many small or poor individuals. If the LAC is greater than 1, the inequality is primarily due to the few largest or wealthiest individuals." It remains to be seen what happens if the origin is due to both factors as is often the case in wiki data.

https://en.wikipedia.org/wiki/Lorenz_asymmetry_coefficient

More details in the original article: https://doi.org/10.1890/0012-9658(2000)081[1139:DIIPSO]2.0.CO;2

It is funny that is was proposed in an ecology journal, but interestingly has been used in other fields including wealth distribution, computing, etc. https://scholar.google.es/scholar?cites=12769940368116922741&as_sdt=2005&sciodt=0,5&hl=en

[Akronix]

Shall we consider also this case: https://en.wikipedia.org/wiki/Lorenz_asymmetry_coefficient#LAC_interval_when_some_data_is_equal_to_%CE%BC ? In wikichron we need a fixed value though, shall we take the average of the interval in such case?

[javiag]

Hummm, I guess so.

What do you mean by a fixed value? That we do not plot the lorenz curve, but that we use it to estimate a metric?

[Akronix]

I mean that we need to plot a concrete value not an interval, which is the LAC value when there exist individuals whose value is equal to the mean.