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摘要
This paper presents the asymptotic theory for nondegenerate U-statistics of high frequency observations of continuous Ito semimartingales. We prove uniform convergence in probability and show a functional stable central limit theorem for the standardized version of the U-statistic. The limiting process in the central limit theorem turns out to be conditionally Gaussian with mean zero. Finally, we indicate potential statistical applications of our probabilistic results.
- 出版日期2014-12
