252 citations · 1.3k across the 41 of their papers we have counts for
47 papers
Quantiles for multivariate distribution: a short survey of population concepts
Marc Hallin
Quantiles are among the most fundamental concepts in Probability and Statistics, from descriptive to inferential. However, quantile functions are well-defined and well-understood i…
On Bounded Completeness and the -Denseness of Likelihood Ratios
Marc Hallin, Bas Werker, Bo Zhou
The classical concept of bounded completeness and its relation to sufficiency and ancillarity play a fundamental role in unbiased estimation, unbiased testing, and the validity of…
Monotone Measure-Preserving Maps in Hilbert Spaces: Existence, Uniqueness, and Stability
Alberto González-Sanz, Marc Hallin, Bodhisattva Sen
The contribution of this work is twofold. The first part deals with a Hilbert-space version of McCann's celebrated result on the existence and uniqueness of monotone measure-preser…
Nonparametric Measure-Transportation-Based Methods for Directional Data
Marc Hallin, Hang Liu, Thomas Verdebout
This paper proposes various nonparametric tools based on measure transportation for directional data. We use optimal transports to define new notions of distribution and quantile f…
Center-Outward Multiple-Output Lorenz Curves and Gini Indices a measure transportation approach
Marc Hallin, Gilles Mordant
Based on measure transportation ideas and the related concepts of center-outward quantile functions, we propose multiple-output center-outward generalizations of the traditional un…
Center-outward Rank- and Sign-based VARMA Portmanteau Tests: Chitturi, Hosking, and Li--McLeod revisited
Marc Hallin, Hang Liu
The pseudo-Gaussian portmanteau tests of Chitturi, Hosking, and Li and McLeod for VARMA models are revisited from a Le Cam perspective, providing a precise and more rigorous descri…