Central limit theorems for realized volatility under hitting times of an irregular grid
From MaRDI portal
Publication:713209
DOI10.1016/j.spa.2012.08.005zbMath1255.60034OpenAlexW1983366846MaRDI QIDQ713209
Mathieu Rosenbaum, Masaaki Fukasawa
Publication date: 26 October 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.2012.08.005
Central limit and other weak theorems (60F05) Inference from stochastic processes (62M99) Stopping times; optimal stopping problems; gambling theory (60G40) Martingales with continuous parameter (60G44) Functional limit theorems; invariance principles (60F17)
Related Items
Parametric inference for diffusions observed at stopping times ⋮ On the estimation of the jump activity index in the case of random observation times ⋮ Volatility inference in the presence of both endogenous time and microstructure noise ⋮ Limit theorems for random walks under irregular conductance ⋮ Estimation of integrated quadratic covariation with endogenous sampling times ⋮ Testing for simultaneous jumps in case of asynchronous observations ⋮ ESTIMATION OF INTEGRATED COVARIANCES IN THE SIMULTANEOUS PRESENCE OF NONSYNCHRONICITY, MICROSTRUCTURE NOISE AND JUMPS ⋮ A CLT for second difference estimators with an application to volatility and intensity ⋮ Econometrics of co-jumps in high-frequency data with noise ⋮ Microstructure noise in the continuous case: approximate efficiency of the adaptive pre-averaging method ⋮ Nonparametric test for a constant beta between Itô semi-martingales based on high-frequency data ⋮ Estimating the quadratic covariation of an asynchronously observed semimartingale with jumps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discretization error of stochastic integrals
- A note on the central limit theorem for bipower variation of general functions
- Realized volatility with stochastic sampling
- On the estimation of the diffusion coefficient for multi-dimensional diffusion processes
- Irregular sampling and central limit theorems for power variations: the continuous case
- Central limit theorem for the realized volatility based on tick time sampling
- Asymptotic properties of realized power variations and related functionals of semimartingales
- REALIZED VOLATILITY WHEN SAMPLING TIMES ARE POSSIBLY ENDOGENOUS
- On the Microstructural Hedging Error
- VOLATILITY AND COVARIATION ESTIMATION WHEN MICROSTRUCTURE NOISE AND TRADING TIMES ARE ENDOGENOUS