Heavy-traffic approximations for fractionally integrated random walks in the domain of attraction of a non-Gaussian stable distribution
DOI10.1016/j.spa.2012.01.008zbMath1254.60035OpenAlexW2070876427MaRDI QIDQ424472
William P. McCormick, Philippe Barbe
Publication date: 1 June 2012
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2012.01.008
heavy trafficfractional Lévy stable processfractionally integrated autoregressive-moving average (FARIMA) process
Applications of statistics to economics (62P20) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Fractional processes, including fractional Brownian motion (60G22) Extreme value theory; extremal stochastic processes (60G70) Queueing theory (aspects of probability theory) (60K25) Stable stochastic processes (60G52) Functional limit theorems; invariance principles (60F17)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Moment identities for Poisson-Skorohod integrals and application to measure invariance
- Normal and stable convergence of integral functions of the empirical distribution function
- The growth of random walks and Levy processes
- Linear bounds on the empirical distribution function
- On the estimation of extreme tail probabilities
- Big queues.
- Tail probabilities of subadditive functionals of Lévy processes.
- Invariance of Poisson measures under random transformations
- Invariance principles for some FARIMA and nonstationary linear processes in the domain of a stable distribution
- Conditional limit theorems for queues with Gaussian input, a weak convergence approach
- Stochastic-Process Limits
- A large deviation principle with queueing applications
- A Unified Approach to the Heavy-Traffic Analysis of the Maximum of Random Walks
- Heavy-Tail Phenomena
