An estimator for the quadratic covariation of asynchronously observed Ito processes with noise: Asymptotic distribution theory

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:122

Article

Bibinger, Markus

关键词: Integrated covolatility;    Microstructure noise;    Multiscale estimator;    Non-synchronous observations;    Stable limit theorem;   

DOI  :  10.1016/j.spa.2012.04.002

来源: Elsevier

【 摘 要 】

The article is devoted to the nonparametric estimation of the quadratic covariation of non-synchronously observed Ito processes in an additive microstructure noise model. In a high-frequency setting, we aim at establishing an asymptotic distribution theory for a generalized multiscale estimator including a feasible central limit theorem with optimal convergence rate on convenient regularity assumptions. The inevitably remaining impact of asynchronous deterministic sampling schemes and noise corruption on the asymptotic distribution is precisely elucidated. A case study for various important examples, several generalizations of the model and an algorithm for the implementation warrant the utility of the estimation method in applications. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free