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Logarithmic Level Comparison for Small Deviation Probabilities
Authors:Fuchang Gao  Wenbo V. Li
Affiliation:(1) Department of Mathematics, University of Idaho, Moscow, ID 83844-1103, USA;(2) Department of Mathematical Sciences, University of Delaware, Delaware, USA
Abstract:Log-level comparisons of the small deviation probabilities are studied in three different but related settings: Gaussian processes under the L 2 norm, multiple sums motivated by tensor product of Gaussian processes, and various integrated fractional Brownian motions under the sup-norm. Wenbo V. Li: Supported in part by NSF Grant DMS-0505805.
Keywords:Small deviation probability  Gaussian process  tensor
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