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by mhermher 3417 days ago
I think it's just that they are plotting sum vs ratio of two random variables. Try this (in R):

a <- runif(1000); b <- runif(1000); plot(a + b, log(a/b))

Also, they likely have a low-end cutoff (notice their x axis starts at 10^4. If you do the same to the above plot, you get even closer to that exact shape. Try:

plot(a + b, log(a/b), xlim=quantile(a + b, probs=c(0.2, 1)))

1 comments

Note also their x axis is on a log scale, which makes the edges linear instead of curved. E.g.:

plot(a + b, log(a/b), xlim=c(1, 2), log="x")

ah, thanks. I missed that.