Zobrazeno 1 - 10
of 311
pro vyhledávání: '"Paindaveine, Davy"'
We derive the breakdown point for solutions of semi-discrete optimal transport problems, which characterizes the robustness of the multivariate quantiles based on optimal transport proposed in Ghosal and Sen (2022). We do so under very mild assumptio
Externí odkaz:
http://arxiv.org/abs/2410.19596
Autor:
Paindaveine, Davy, Spindel, Philippe
Initially proposed by Martin Gardner in the 1950s, the famous two-children problem is often presented as a paradox in probability theory. A relatively recent variant of this paradox states that, while in a two-children family for which at least one c
Externí odkaz:
http://arxiv.org/abs/2205.12804
Autor:
Dürre, Alexander, Paindaveine, Davy
We derive a consistency result, in the $L_1$-sense, for incomplete U-statistics in the non-standard case where the kernel at hand has infinite second-order moments. Assuming that the kernel has finite moments of order $p(\geq 1)$, we obtain a bound o
Externí odkaz:
http://arxiv.org/abs/2112.14666
We consider a class of symmetry hypothesis testing problems including testing isotropy on $\mathbb{R}^d$ and testing rotational symmetry on the hypersphere $\mathcal{S}^{d-1}$. For this class, we study the null and non-null behaviors of Sobolev tests
Externí odkaz:
http://arxiv.org/abs/2108.09874
Autor:
Paindaveine, Davy1 (AUTHOR) Davy.Paindaveine@ulb.be
Publikováno v:
Annals of the Institute of Statistical Mathematics. Apr2024, Vol. 76 Issue 2, p289-312. 24p.
Autor:
Paindaveine, Davy, Virta, Joni
"Spatial" or "geometric" quantiles are the only multivariate quantiles coping with both high-dimensional data and functional data, also in the framework of multiple-output quantile regression. This work studies spatial quantiles in the finite-dimensi
Externí odkaz:
http://arxiv.org/abs/2001.10877
Testing uniformity on the $p$-dimensional unit sphere is arguably the most fundamental problem in directional statistics. In this paper, we consider this problem in the framework of axial data, that is, under the assumption that the $n$ observations
Externí odkaz:
http://arxiv.org/abs/1910.09391
Preliminary test estimation, which is a natural procedure when it is suspected a priori that the parameter to be estimated might take value in a submodel of the model at hand, is a classical topic in estimation theory. In the present paper, we establ
Externí odkaz:
http://arxiv.org/abs/1906.10967
Autor:
Daouia, Abdelaati, Paindaveine, Davy
Despite the renewed interest in the Newey and Powell (1987) concept of expectiles in fields such as econometrics, risk management, and extreme value theory, expectile regression---or, more generally, M-quantile regression---unfortunately remains limi
Externí odkaz:
http://arxiv.org/abs/1905.12718
Autor:
Paindaveine, Davy, Verdebout, Thomas
Motivated by the fact that circular or spherical data are often much concentrated around a location $\pmb\theta$, we consider inference about $\pmb\theta$ under "high concentration" asymptotic scenarios for which the probability of any fixed spherica
Externí odkaz:
http://arxiv.org/abs/1901.00359