Rate estimates for total variation distance with applications
Abstract
We present a Fourier-analytic method for estimating convergence rates in total variation distance in terms of various metrics related to weak convergence. Applications are provided in the areas of Malliavin calculus, normal approximation and stochastic dynamical systems with memory.
Fields of Study & Subjects
Probability and Statistical Research
Markov Chains and Monte Carlo Methods
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- Electronic Journal of Probability
- Volume
- 31
- Issue
- none
- Pages
- 1–16
- Publication date
- 1 January 2026
- Language
- EN