Non-stationary Time Series Analysis

Speaker:Zhou Zhou (University of Toronto)
Schedule:Thur., 9:50 am- 12:15, Apr.13-May 10, 2023
Venue: Conference Room 1, Jin Chun Yuan West Bldg.


The course covers modeling, estimation and inference of non-stationary time series from a state-of-the-art statistical perspective. In particular, we shall deal with fundamental modeling, structural approximation, Gaussian approximation, statistical inference of trends, quantile curves, time-varying spectra and functional data analysis related to non-stationary time series. With the recent advances in various fields, a systematic account of non-stationary time series analysis is needed.


Undergraduate time series analysis at the level of Brock and Davis (2002).

Reference: Brockwell, Peter J., and Richard A. Davis, eds. Introduction to time series and forecasting. New York, NY: Springer New York, 2002.


Zhou, Z. & Wu, W. B. (2009). Local Linear Quantile Estimation for Non-stationary Time Series. The Annals of Statistics, 37 2696-2729.

Zhou, Z. (2013). Heteroscedasticity and Autocorrelation Robust Structural Change Detection. Journal of the American Statistical Association, 108 726-740.

Zhou, Z. (2014) Inference of Weighted V-statistics for Non-stationary Time Series and Its Applications. The Annals of Statistics 42 87-114.

Ding, X. and Zhou, Z. (2021) Auto-Regressive Approximations to Non-stationary Time Series, with Inference and Applications.

Target Audience: Graduate students

Teaching Language: English