[1] Engle R F, Rusell J R, Autoregressive conditional duration:A new model for irregular spaced transaction date[J]. Econometrics, 1982,36(1):1127-1162.[2] Bollerslev T, Generalized autoregressive conditional heteroscedasticity[J]. Econometrics, 1986, 31(5):307-327.[3] Vetter M. Estimation of integrated volatility of volatility with applications to goodness-of-fit testing[J]. Bernoulli,2015,21(4):2393-2418.[4] Zhang Lan, Mykland P A, Ait-Sahalia Y. A tale of two time scale:determining integrated volatility with noisy high-frequency data[J]. Journal of The American Statistical Association, 2005,100(472):1394-1411.[5] Jacod J, Li Yingying, Mykland P A,et al. Microstructure noise in the continuous case:the pre-averaging approach[J]. Stochastic Processes and their Applications, 2009,119(7):2249-2276.[6] Barndorff-Nielsen O E, Hansen P R, Lunde A, et al. Multivariate realized kernels:Consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading[J]. Journal of Econometrics, 2011,162(2):149-169.[7] Fan Jianqing, Wang Yazhen. Spot volatility estimation for high-frequency data[J]. Statistics and Its Interface, 2008, 1(2):279-288.[8] Kristensen D. Nonparametric filtering of the realized spot volatility:A Kernel-based approach[J]. Econometric Theory, 2010, 26(1):60-93.[9] Zu Yang, Boswijk H P. Estimating spot volatility with high-frequency financial data[J]. Journal of Econometrics, 2014, 181(2):117-135.[10] Sabel T, Schmidt-Hieber J, Munk A. Spot volatility estimation for high-frequency data:Adaptive estimation in practice[M]//Antoniadis A, Poggi T M, Brossat X. Modelling and stochastic learning for forecasting in high dimensions. New York:Springer, 2015:213-241.[11] Mancini1 C, Mattiussi V, Renò R. Spot volatility estimation using delta sequences[J]. Finance Stochastic, 2015, 19:261-293.[12] 沈根祥.基于门限双幂变差的资产价格时点波动非参数估计[J].中国管理科学,2016, 24(1):21-29.[13] 吴鑫育,李心丹,马超群. 门限已实现随机波动率模型及其实证研究[J].中国管理科学,2017, 25(3):10-19.[14] Figueroa-Lopez J E, Li C. Optimal Kernel estimation of spot volatility of stochastic differential equations[R]. Working Paper, Washington University, 2016.[15] Protter P, Stochastic integration and differential equation[M]. 2nd Edition. New York:Springer -Verlag, 2004.[16] Barndorff-Neilsen O E, Graversen S E, Jacod J, et al. Limit theorems for bipower variation in financial econometrics[J]. Econometric Theory, 2006,22(4):677-719.[17] Blanke D, Estimating of local smoothness coefficients for continuous time processes[J]. Statistical Inference for Stochastic Processes, 2002, 5(1):65-93.[18] Gasser T, Kneip A, Kohler W. A flexible and fast method for automatic smoothing[J]. Journal of the American Statistical Association,1991, 415(86):643-652. |