Asymptotic properties for multipower variation of semimartingales and Gaussian integral processes with jumps
DOI10.1016/j.jspi.2013.02.002zbMath1285.60020OpenAlexW1998570526MaRDI QIDQ389251
Guangying Liu, Zhengyuan Wei, Xin Sheng Zhang
Publication date: 20 January 2014
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jspi.2013.02.002
central limit theoremsemimartingalerealized multipower variationhigh frequencyGaussian integral processrealized threshold bipower variation
Gaussian processes (60G15) Central limit and other weak theorems (60F05) Generalizations of martingales (60G48)
Related Items (5)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Power variation of fractional integral processes with jumps
- Convergence en loi des H-variations d'un processus gaussien stationnaire sur \({\mathbb{R}}\). (Convergence in law of H-variations of a stationary Gaussian process)
- Is Brownian motion necessary to model high-frequency data?
- Threshold bipower variation and the impact of jumps on volatility forecasting
- Power variation of some integral fractional processes
- Testing for jumps in a discretely observed process
- Power variation for Gaussian processes with stationary increments
- Arbitrage in fractional Brownian motion models
- Testing long memory based on a discretely observed process
- Asymptotic properties of realized power variations and related functionals of semimartingales
- A note on Wick products and the fractional Black-Scholes model
- Limit theorems for multipower variation in the presence of jumps
- Limit theorems for bipower variation of semimartingales
- Analyzing the Fine Structure of Continuous Time Stochastic Processes
- FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE
- ESTIMATORS FOR LONG-RANGE DEPENDENCE: AN EMPIRICAL STUDY
- Non‐parametric Threshold Estimation for Models with Stochastic Diffusion Coefficient and Jumps
- Bipower Variation for Gaussian Processes with Stationary Increments
- A General Fractional White Noise Theory And Applications To Finance
- Econometric Analysis of Realized Volatility and its Use in Estimating Stochastic Volatility Models
- On the pricing and hedging of volatility derivatives
- Asymptotic properties of power variations of Lévy processes
- Estimation of the Characteristics of the Jumps of a General Poisson-Diffusion Model
This page was built for publication: Asymptotic properties for multipower variation of semimartingales and Gaussian integral processes with jumps