Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds
P. E. Jupp
Abstract
Classes of coordinate-invariant omnibus goodness-of-fit tests on compact Riemannian manifolds are proposed. The tests are based on Giné's Sobolev tests of uniformity. A condition for consistency is given. The tests are illustrated by an example on the rotation group SO(3).
Create a lesson
Related papers
Conformal Prediction Through the Lens of Hypothesis Testing: Universality, Impossibility, and Optimality
Ryan J. Tibshirani, Rina Foygel Barber, Aaditya Ramdas
Connecting Riemannian Geometry and Statistical Inference for Correlation Matrices
Argyn Kuketayev
How far can symmetry help? Phase transitions and symmetry selection in sparse functional data analysis
Jocelyn Nembe
Posterior consistency for subdiffusion inverse problems
Haoyu Lu, Shaokang Zu, Junxiong Jia
Dimension comparison for Student's statistic under symmetric unimodality
Jacopo Lenzi
Statistical Properties of Nonparametric MLE under Laplace Noise
Yifei Xiong, Nianqiao Phyllis Ju, Vinayak Rao