英文文献：Realized Volatility and Multipower Variation-已实现的波动和多功率变化
英文文献作者：Torben G. Andersen,Viktor Todorov
英文文献摘要：
This paper reviews basic notions of return variation in the context of a continuous-time arbitrage-free asset pricing model and discusses some of their applications. We first define return variation in the infeasible continuous-sampling case. Then we introduce realized measures obtained from high-frequency observations which provide consistent and asymptotically normal estimates of the underlying return variation. The paper discusses applications of these measures for reduced-form volatility modeling and forecasting as well as testing for the presence of jumps.

本文回顾了连续时间无套利资产定价模型中收益变化的基本概念，并讨论了它们的一些应用。首先定义不可行的连续抽样情况下的收益变化。然后，我们引入实现的措施，从高频观测，提供一致的和渐近正态估计的潜在回报变化。本文讨论了这些措施在简化形式波动率建模和预测以及检验跳跃存在方面的应用。