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Estimates for the distribution of the supremum of Θ-pre-Gaussian random processes
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Illya Dariychuk
Published/Copyright:
May 19, 2008
Abstract
We consider some classes of pre-Gaussian random processes. We obtain several theorems on estimation of distribution of the supremum of these processes both on pseudometric space (T, ρ) and on ℝ.
Received: 2007-04-26
Published Online: 2008-05-19
Published in Print: 2008-April
© de Gruyter 2008
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Articles in the same Issue
- The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
- Studying anticipation on financial markets via BSDEs with random terminal time
- Parametric estimation for linear stochastic delay differential equations driven by fractional Brownian motion
- Estimates for the distribution of the supremum of Θ-pre-Gaussian random processes
- Levels of crossing probability for Brownian motion
Keywords for this article
Θ-pre-Gaussian random process;
ε-entropy;
pseudometric space;
metric massiveness
Articles in the same Issue
- The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
- Studying anticipation on financial markets via BSDEs with random terminal time
- Parametric estimation for linear stochastic delay differential equations driven by fractional Brownian motion
- Estimates for the distribution of the supremum of Θ-pre-Gaussian random processes
- Levels of crossing probability for Brownian motion
