Mathematics – Statistics Theory
Scientific paper
2011-11-25
Mathematics
Statistics Theory
Scientific paper
In this paper we tackle the problem of comparing distributions of random variables and defining a mean pattern between a sample of random events. Using barycenters of measures in the Wasserstein space, we propose an iterative version as an estimation of the mean distribution. Moreover, when the distributions are a common measure warped by a centered random operator, then the barycenter enables to recover this distribution template.
Boissard Emmanuel
Gouic Thibault Le
Loubes Jean-Michel
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