Extremes of multidimensional Gaussian processes
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Publication:608210
DOI10.1016/j.spa.2010.08.010zbMath1214.60010arXiv1006.0029OpenAlexW2129967336MaRDI QIDQ608210
Tomasz Rolski, M. R. H. Mandjes, Krzysztof Dȩbicki, Kamil M. Kosiński
Publication date: 25 November 2010
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.0029
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Cites Work
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- A two-dimensional ruin problem on the positive quadrant
- Extremes of a certain class of Gaussian processes
- Asymptotics and bounds for multivariate Gaussian tails
- A note on LDP for supremum of Gaussian processes over infinite horizon
- Extremes of Gaussian processes over an infinite horizon
- Conditional limit theorems for queues with Gaussian input, a weak convergence approach
- Large Deviations for Gaussian Queues
- Large deviations and overflow probabilities for the general single-server queue, with applications
- Crude asymptotics of the probability of simultaneous high extrema of two Gaussian processes: the dual action functional
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