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used only for functions based on gamma, not functions with some obscure relation to gamma

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Monotone coupling between "two-sided Gumbel" distributions

I am interested in finding a monotone coupling between two random variables. Let $\alpha_1>\alpha_2$, $b<a$. Define the following two (non-normalized) densities on the whole real line: \begin{align*} …
Leonid Petrov's user avatar