Extremes of the time-average of stationary Gaussian processes
From MaRDI portal
Publication:554456
DOI10.1016/j.spa.2011.05.005zbMath1227.60045OpenAlexW1974082370MaRDI QIDQ554456
Krzysztof Dȩbicki, Kamil Tabiś
Publication date: 4 August 2011
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2011.05.005
Gaussian processes (60G15) Extreme value theory; extremal stochastic processes (60G70) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)
Related Items
Extremes of threshold-dependent Gaussian processes ⋮ An almost sure limit theorem for the maxima of smooth stationary Gaussian processes ⋮ Approximation of Passage Times of γ-Reflected Processes with FBM Input ⋮ Exact tail asymptotics of the supremum of strongly dependent Gaussian processes over a random interval ⋮ Pickands-Piterbarg constants for self-similar Gaussian processes ⋮ Extremes ofγ-reflected Gaussian processes with stationary increments ⋮ On the speed of convergence of Piterbarg constants ⋮ Large deviations of Shepp statistics for fractional Brownian motion ⋮ On Piterbarg max-discretisation theorem for standardised maximum of stationary Gaussian processes ⋮ On the infimum attained by the reflected fractional Brownian motion ⋮ Extremes of vector-valued Gaussian processes: exact asymptotics ⋮ Ruin problem of a two-dimensional fractional Brownian motion risk process ⋮ On Piterbarg's max-discretisation theorem for multivariate stationary Gaussian processes ⋮ On the \(\gamma\)-reflected processes with fBm input ⋮ Piterbarg theorems for chi-processes with trend
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The exact asymptotic of the time to collision
- Gaussian stochastic processes
- Collision times and exit times from cones: A duality
- On-off fluid models in heavy traffic environment
- On the Integrodifferential Equation of Takacs. I
- Large Deviations for Gaussian Queues
- Exact overflow asymptotics for queues with many Gaussian inputs
- Random Fields and Geometry
- Upcrossing Probabilities for Stationary Gaussian Processes
This page was built for publication: Extremes of the time-average of stationary Gaussian processes