Arrangements and Likelihood
arXiv:2411.09508
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.
21 pages, 1 figure, v2: final version as in Vietnam Journal of Mathematics