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Log-Level Comparison Principle for Small Ball Probabilities

Probability 2008-05-14 v1

Abstract

We prove a new variant of comparison principle for logarithmic L2L_2-small ball probabilities of Gaussian processes. As an application, we obtain logarithmic small ball asymptotics for some well-known processes with smooth covariances.

Keywords

Cite

@article{arxiv.0805.1773,
  title  = {Log-Level Comparison Principle for Small Ball Probabilities},
  author = {A. I. Nazarov},
  journal= {arXiv preprint arXiv:0805.1773},
  year   = {2008}
}
R2 v1 2026-06-21T10:39:46.143Z