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Limit theorems for the pre-averaged Hayashi-Yoshida estimator with random sampling

Limit theorems for the pre-averaged Hayashi-Yoshida estimator with random sampling

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 is possibly correlated with the returns of the diffusion processes, while the sampling times also possibly depend on the observed processes. In a high-frequency …