学术报告
A Frequency Domain Analysis of High Frequency Financial Data-常晋源 西南财经大学统计学院
题目：A Frequency Domain Analysis of High Frequency Financial Data
报告人：常晋源 西南财经大学统计学院
摘要：High frequency financial data are typically assumed to be an additive composite of a relatively slow-varying continuous-time stochastic process for the price and some measurement errors contaminating the observations. We propose new techniques for analyzing such noisy high frequency financial data, based on frequency domain methods which are extremely popular in simpler errors-in-variables problems for i.i.d. data. We propose to estimate the density function of the measurement error distribution by applying a deconvolution technique with appropriate localization, incorporating
the slowly varying feature of the underlying stochastic process. Our analysis shows that the resulting density function estimator is consistent and minimax rate optimal. Estimators of moments of the error distributions and their properties are also investigated. With the estimated error density function, we further study a frequency domain estimator for integrated volatility of the stochastic price process. We show that our integrated volatility estimator achieves the optimal convergence rate when the financial data are contaminated with measurement errors. Numerical examples by simulations and a real data analysis are conducted to demonstrate and validate our analysis.
时间：2017年3月20日（周一） 16:00
地点：首都师大新教二楼924教室
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