Limit theorems for the pre-averaged Hayashi–Yoshida estimator with random sampling |
| |
Authors: | Yuta Koike |
| |
Institution: | University of Tokyo, Graduate School of Mathematical Sciences, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan |
| |
Abstract: | We will focus on estimating the integrated covariance of two diffusion processes observed in a nonsynchronous manner. The observation data is contaminated by some noise, which possibly depends on the time and the latent diffusion processes, while the sampling times also possibly depend on the observed processes. In a high-frequency setting, we consider a modified version of the pre-averaged Hayashi–Yoshida estimator, and we show that such a kind of estimator has the consistency and the asymptotic mixed normality, and attains the optimal rate of convergence. |
| |
Keywords: | Hayashi&ndash Yoshida estimator Integrated covariance Market microstructure noise Nonsynchronous observations Pre-averaging Stable convergence Strong predictability |
本文献已被 ScienceDirect 等数据库收录! |
|