Testing uniformity on high-dimensional spheres: the non-null behaviour of the Bingham test
From MaRDI portal
Publication:2078028
DOI10.1214/21-AIHP1168zbMath1493.62091OpenAlexW3172416459WikidataQ114060508 ScholiaQ114060508MaRDI QIDQ2078028
Christine Cutting, Thomas Verdebout, Davy Paindaveine
Publication date: 25 February 2022
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/21-aihp1168
local asymptotic normalitydirectional statisticshigh-dimensional statisticsminimax separation ratestests of uniformityrotationally symmetric distributions
Directional data; spatial statistics (62H11) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of parametric tests (62F05)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On high-dimensional sign tests
- Asymptotic power of sphericity tests for high-dimensional data
- Goodness-of-fit test for noisy directional data
- High dimensional limit theorems and matrix decompositions on the Stiefel manifold
- Data-driven Sobolev tests of uniformity on compact Riemannian manifolds
- High dimensional asymptotic expansions for the matrix Langevin distributions on the Stiefel manifold
- An antipodally symmetric distribution on the sphere
- Bayesian optimality for Beran's class of tests of uniformity around the circle
- Multivariate goodness-of-fit on flat and curved spaces via nearest neighbor distances
- Statistics on special manifolds
- The multivariate Watson distribution: maximum-likelihood estimation and other aspects
- Inference on the mode of weak directional signals: a Le Cam perspective on hypothesis testing near singularities
- Testing uniformity on high-dimensional spheres against monotone rotationally symmetric alternatives
- Detecting the direction of a signal on high-dimensional spheres: non-null and Le Cam optimality results
- On Sobolev tests of uniformity on the circle with an extension to the sphere
- On the power of axial tests of uniformity on spheres
- Asymptotic distribution and detection thresholds for two-sample tests based on geometric graphs
- Inference for spherical location under high concentration
- Semiparametrically efficient rank-based inference for shape. I: optimal rank-based tests for sphericity
- Optimal hypothesis testing for high dimensional covariance matrices
- Statistical analysis on high-dimensional spheres and shape spaces
- THE DENSITY OF A QUADRATIC FORM IN A VECTOR UNIFORMLY DISTRIBUTED ON THE n-SPHERE
- Distributions of Angles in Random Packing on Spheres
- Statistical analysis for the angular central Gaussian distribution on the sphere
- Statistical Analysis of Spherical Data
- Estimation of the concentration parameter in von Mises-Fisher distributions
- Computation of Modified Bessel Functions and Their Ratios
- On Optimal Tests for Rotational Symmetry Against New Classes of Hyperspherical Distributions
- Tests for randomness of directions against equatorial and bimodal alternatives
- Modifications of the Rayleigh and Bingham tests for uniformity of directions