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07/01/2023
On the notion of polynomial reach: a statistical application
The volume function V(t) of a compact set S∈R^d is just the Lebesgue mea...
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11/21/2022
Statistical analysis of measures of non-convexity
Several measures of non-convexity (departures from convexity) have been ...
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06/27/2022
A Cramér-Wold theorem for elliptical distributions
According to a well-known theorem of Cramér and Wold, if P and Q are two...
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01/19/2022
A quantitative Heppes Theorem and multivariate Bernoulli distributions
Using some extensions of a theorem of Heppes on finitely supported discr...
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10/23/2021
Universally consistent estimation of the reach
The reach of a set M ⊂ℝ^d, also known as condition number when M is a ma...
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09/02/2021
Exchangeability and the Cramér-Wold theorem
We address the problem of testing exchangeability and sign-invariant exc...
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11/23/2020
Level sets of depth measures and central dispersion in abstract spaces
The lens depth of a point have been recently extended to general metric ...
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11/22/2020
Weighted lens depth: Some applications to supervised classification
Starting with Tukey's pioneering work in the 1970's, the notion of depth...
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03/12/2020
Level set and density estimation on manifolds
Given an iid sample of a distribution supported on a smooth manifold M^d...
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02/11/2020