Arrangements and Likelihood
Commutative Algebra
2025-07-18 v2 Combinatorics
Statistics Theory
Statistics Theory
Abstract
We develop novel tools for computing the likelihood correspondence of an arrangement of hypersurfaces in a projective space. This uses the module of logarithmic derivations. This object is well-studied in the linear case, when the hypersurfaces are hyperplanes. We here focus on nonlinear scenarios and their applications in statistics and physics.
Cite
@article{arxiv.2411.09508,
title = {Arrangements and Likelihood},
author = {Thomas Kahle and Lukas Kühne and Leonie Mühlherr and Bernd Sturmfels and Maximilian Wiesmann},
journal= {arXiv preprint arXiv:2411.09508},
year = {2025}
}
Comments
21 pages, 1 figure, v2: final version as in Vietnam Journal of Mathematics