The paper contains estimates for the entropy numbers of classes of functions with conditions on the mixed derivative (difference), in the uniform and integral metrics. As an application, the new estimates of the Gaussian measure of a small ball are obtained.
✦ LIBER ✦
Entropy Bounds for Gibbs Measures with Non-Gaussian Tails
✍ Scribed by Bogusław Zegarliński
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 209 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
to dan stroock on the occasion of his 60th birthday
We introduce and study relative entropy bounds which (under some mixing conditions) allow us to classify the distribution tails in the infinite dimensional setting.
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