Conditional limit theorems for regulated fractional Brownian motion
From MaRDI portal
Publication:1049559
DOI10.1214/09-AAP605zbMath1204.60084arXiv0912.1928OpenAlexW2056986367MaRDI QIDQ1049559
Publication date: 13 January 2010
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.1928
Fractional processes, including fractional Brownian motion (60G22) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Limit theorems in probability theory (60F99)
Related Items (4)
Approximation of Passage Times of γ-Reflected Processes with FBM Input ⋮ Extremes ofγ-reflected Gaussian processes with stationary increments ⋮ Maximal Inequalities for Fractional Brownian Motion: An Overview ⋮ On the \(\gamma\)-reflected processes with fBm input
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A limit theorem for the time of ruin in a Gaussian ruin problem
- Macroscopic models for long-range dependent network traffic
- An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions
- A storage model with self-similar input
- Large deviations results for subexponential tails, with applications to insurance risk
- Heavy traffic limits associated with M/G/\(\infty\) input processes
- Extremes of a certain class of Gaussian processes
- Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
- On the maximum workload of a queue fed by fractional Brownian motion.
- Extremes of Gaussian processes over an infinite horizon
- Large deviations of infinite intersections of events in Gaussian processes
- LIMITS FOR CUMULATIVE INPUT PROCESSES TO QUEUES
- Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
- Large deviations, moderate deviations, and queues with long-range dependent input
- Large deviations and overflow probabilities for the general single-server queue, with applications
- On the prediction of fractional Brownian motion
- Characterizing Heavy-Tailed Distributions Induced by Retransmissions
- Stochastic Calculus for Fractional Brownian Motion I. Theory
- Large buffer asymptotics for the queue with fractional Brownian input
- An overview of Brownian and non-Brownian FCLTs for the single-server queue
This page was built for publication: Conditional limit theorems for regulated fractional Brownian motion