Limit theorems for integrated trawl processes with symmetric Lévy bases
DOI10.1214/20-EJP509zbMath1469.60150arXiv1907.00446MaRDI QIDQ2024500
Łukasz Treszczotko, Anna Talarczyk
Publication date: 4 May 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.00446
Lévy processesfractional Brownian motionself-similar processeslimit theoremsinfinite divisibilitystable processesLévy basestrawl processes
Processes with independent increments; Lévy processes (60G51) Central limit and other weak theorems (60F05) Random measures (60G57) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52) Functional limit theorems; invariance principles (60F17)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Modeling, simulation and inference for multivariate time series of counts using trawl processes
- Quasi Ornstein-Uhlenbeck processes
- Stationary infinitely divisible processes
- Occupation time fluctuations of an infinite-variance branching system in large dimensions
- Fractional Ornstein-Uhlenbeck Lévy processes and the telecom process: Upstairs and downstairs
- Spectral representations of infinitely divisible processes
- Intermittency of trawl processes
- A long range dependence stable process and an infinite variance branching system
- Discrete-time trawl processes
- Integer-valued Trawl Processes: A Class of Stationary Infinitely Divisible Processes
- Ambit Stochastics
- Recent advances in ambit stochastics with a view towards tempo-spatial stochastic volatility/intermittency
- Long-Range Dependence and Self-Similarity
This page was built for publication: Limit theorems for integrated trawl processes with symmetric Lévy bases