79 citations · 105 across the 7 of their papers we have counts for
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stat.ME2011
Consistent estimation of a mean planar curve modulo similarities
Jérémie Bigot, Benjamin Charlier
We consider the problem of estimating a mean planar curve from a set of random planar curves observed on a -points deterministic design. We study the consistency of a smooth…
math.ST2011
Necessary and sufficient condition for the existence of a Fréchet mean on the circle
Benjamin Charlier
Let be the unit circle in endowed with the arclength distance. We give a sufficient and necessary condition for a general probability measure to admit a…