4 citations · 5 across the 3 of their papers we have counts for
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A Coupling Proof of Convex Ordering for Compound Distributions
Jean Bérard, Nicolas Juillet
In this paper, we give an alternative proof of the fact that, when compounding a nonnegative probability distribution, convex ordering between the distributions of the number of su…
On a solution to the Monge transport problem on the real line arising from the strictly concave case
Nicolas Juillet
It is well-known that the optimal transport problem on the real line for the classical distance cost may not have a unique solution. In this paper we recover uniqueness by consider…
On A Mixture Of Brenier and Strassen Theorems
Nathael Gozlan, Nicolas Juillet
We give a characterization of optimal transport plans for a variant of the usual quadratic transport cost introduced in [33]. Optimal plans are composition of a deterministic trans…
The Markov-quantile process attached to a family of Marginals
Charles Boubel, Nicolas Juillet
Let = (t)tR be any 1-parameter family of probability measures on R. Its quantile process (Gt)tR : ]0, 1[ RR, given by Gt() = inf{x R : t(…