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math.ST2020
Denoising and Interior Detection Problems
Nuno Picado, Paulo Eduardo Oliveira
Let be a compact manifold of . The goal of this paper is to decide, based on a sample of points, whether the interior of is empty or not.…
stat.ME2020
Second-order stochastic comparisons of order statistics
Tommaso Lando, Idir Arab, Paulo Eduardo Oliveira
We study the problem of comparing ageing patterns of the lifetime of k-out-of-n systems. Mathematically, this reduces to being able to decide about a stochastic ordering relationsh…
math.PR2020
Convex transform order of Beta distributions with some consequences
Idir Arab, Paulo Eduardo Oliveira, Tilo Wiklund
The convex transform order is one way to make precise comparison between the skewness of probability distributions on the real line. We establish a simple and complete characterisa…