Revisiting two strong approximation results of Dudley and Philipp
Philippe Berthet, David M. Mason
Abstract
We demonstrate the strength of a coupling derived from a Gaussian approximation of Zaitsev (1987a) by revisiting two strong approximation results for the empirical process of Dudley and Philipp (1983), and using the coupling to derive extended and refined versions of them.
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