Abstract
Upper pointwise bounds are considered for convolution of bounded densities in terms of the associated Laplace and Legendre transforms. Applications of these bounds are illustrated in the central limit theorem with respect to the Rényi divergence.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1603-1615 |
| Number of pages | 13 |
| Journal | Annals of Probability |
| Volume | 51 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2023 |
Bibliographical note
Publisher Copyright:© Institute of Mathematical Statistics, 2023
Keywords
- Convolution
- decay of densities