Estimating the quadratic covariation matrix from noisy observations: local method of moments and efficiency
From MaRDI portal
Publication:464183
DOI10.1214/14-AOS1224zbMath1302.62190arXiv1303.6146MaRDI QIDQ464183
Nikolaus Hautsch, Peter Malec, Markus Bibinger, Markus Reiss
Publication date: 17 October 2014
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.6146
high-frequency datasemiparametric efficiencyasynchronous observationsasymptotic equivalencemicrostructure noiseintegrated covolatility matrix
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Nonparametric estimation (62G05)
Related Items
Detecting factors of quadratic variation in the presence of market microstructure noise, Inference for time-varying lead-lag relationships from ultra-high-frequency data, Low-rank diffusion matrix estimation for high-dimensional time-changed Lévy processes, Forecasting realized volatility: a review, Quadratic covariation estimation of an irregularly observed semimartingale with jumps and noise, A bias-corrected estimator of the covariation matrix of multiple security prices when both microstructure effects and sampling durations are persistent and endogenous, Increased correlation among asset classes: are volatility or jumps to blame, or both?, Between data cleaning and inference: pre-averaging and robust estimators of the efficient price, A noisy principal component analysis for forward rate curves, Sparse PCA-based on high-dimensional Itô processes with measurement errors, Robust High-Dimensional Volatility Matrix Estimation for High-Frequency Factor Model, Common price and volatility jumps in noisy high-frequency data, Goodness-of-fit tests for centralized Wishart processes, Adaptive estimation of continuous-time regression models using high-frequency data, Model-free approaches to discern non-stationary microstructure noise and time-varying liquidity in high-frequency data, Local mispricing and microstructural noise: a parametric perspective, Econometric analysis of multivariate realised QML: estimation of the covariation of equity prices under asynchronous trading, On the Asymptotic Structure of Brownian Motions with a Small Lead-Lag Effect, Using principal component analysis to estimate a high dimensional factor model with high-frequency data, Conditional quantile analysis for realized GARCH models, Local asymptotic mixed normality property for nonsynchronously observed diffusion processes, A Lepskiĭ-type stopping rule for the covariance estimation of multi-dimensional Lévy processes, Adaptive robust large volatility matrix estimation based on high-frequency financial data, Asymptotically efficient estimation for diffusion processes with nonsynchronous observations, Singular Conditional Autoregressive Wishart Model for Realized Covariance Matrices, Minimax rates for the covariance estimation of multi-dimensional Lévy processes with high-frequency data, Estimating the quadratic covariation matrix from noisy observations: local method of moments and efficiency, Efficient estimation of integrated volatility functionals via multiscale jackknife, Does anything beat 5-minute RV? A comparison of realized measures across multiple asset classes, Knowing factors or factor loadings, or neither? Evaluating estimators of large covariance matrices with noisy and asynchronous data, Factor GARCH-Itô models for high-frequency data with application to large volatility matrix prediction, Structured volatility matrix estimation for non-synchronized high-frequency financial data, Estimation of the discontinuous leverage effect: evidence from the NASDAQ order book, Positive semidefinite integrated covariance estimation, factorizations and asynchronicity, Bootstrapping integrated covariance matrix estimators in noisy jump-diffusion models with non-synchronous trading, Glivenko-Cantelli theorems for integrated functionals of stochastic processes, Parametric inference for nonsynchronously observed diffusion processes in the presence of market microstructure noise, Large volatility matrix estimation with factor-based diffusion model for high-frequency financial data, Limit theorems for integrated local empirical characteristic exponents from noisy high-frequency data with application to volatility and jump activity estimation, Time endogeneity and an optimal weight function in pre-averaging covariance estimation, Estimating the quadratic covariation matrix for asynchronously observed high frequency stock returns corrupted by additive measurement error, Estimation of volatility in a high-frequency setting: a short review, Quasi-likelihood analysis for nonsynchronously observed diffusion processes, Functional stable limit theorems for quasi-efficient spectral covolatility estimators, Inference for Multi‐dimensional High‐frequency Data with an Application to Conditional Independence Testing, Unified discrete-time factor stochastic volatility and continuous-time Itô models for combining inference based on low-frequency and high-frequency, 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large Sample Properties of Generalized Method of Moments Estimators
- Quarticity and other functionals of volatility: efficient estimation
- On covariation estimation for multivariate continuous Itō semimartingales with noise in non-synchronous observation schemes
- Estimating the quadratic covariation matrix from noisy observations: local method of moments and efficiency
- Asymptotic equivalence for inference on the volatility from noisy observations
- Nonsynchronous covariation process and limit theorems
- Estimating covariation: Epps effect, microstructure noise
- Multivariate realised kernels: consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading
- Functional stable limit theorems for quasi-efficient spectral covolatility estimators
- Asymptotics in statistics. Some basic concepts.
- Econometric analysis of multivariate realised QML: estimation of the covariation of equity prices under asynchronous trading
- A quasi-maximum likelihood approach for integrated covariance matrix estimation with high frequency data
- REALIZED VOLATILITY WHEN SAMPLING TIMES ARE POSSIBLY ENDOGENOUS
- On Lipschitz Functions of Normal Operators
- Quelques espaces fonctionnels associés à des processus gaussiens
- High-Frequency Covariance Estimates With Noisy and Asynchronous Financial Data
- Spectral Estimation of Covolatility from Noisy Observations Using Local Weights
- Econometric Analysis of Realized Covariation: High Frequency Based Covariance, Regression, and Correlation in Financial Economics
- A Tale of Two Time Scales