This paper develops the asymptotic theory of the threshold pre-averaged multi-power variation estimation in the simultaneous presence of jumps and market microstructure noise and then proposes an improved estimator for integrated volatility of an Itô semi-martingale based on the obtained...

The phenomenon of multiple transactions at each recording time is a common occurrence for high frequency financial data, due to heavy trading of the market and limitation of the recording mechanism. The situation has existed for a long time, but is getting more common in recent years due to...