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MAST 677

Time Series

3 credits · Graduate

Winter 2026 · Time Series and Forecasting

Topics

  • Time-series models, trends and seasonality
  • Stationary processes and autocorrelation
  • Linear and ARMA processes
  • Forecasting stationary series and Wold decomposition
  • ARMA autocorrelation and partial autocorrelation
  • Spectral densities and periodograms
  • Time-invariant linear filters
  • Parameter estimation and maximum likelihood
  • Diagnostic checking, model order selection and forecasting

Readings

  • Listed textbook (requirement not stated): Peter J. Brockwell and Richard A. Davis. Introduction to Time Series and Forecasting, 3rd edition. Springer, 2016.
    Listed reading
  • Reference (not explicitly required): Chris Chatfield. The Analysis of Time Series: An Introduction with R, 7th edition. Chapman & Hall/CRC, 2019.
    Listed reading
  • Reference (not explicitly required): Robert H. Shumway and David S. Stoffer. Time Series Analysis and Its Applications, 4th edition. Springer, 2017.
    Listed reading
Winter 2025 · STAT 460

Readings

  • Introduction to Time Series and Forecasting, 3rd Edition, by Peter J. Brockwell and Richard A. Davis, Springer, 2016.
    Listed reading; requirement unspecified
  • The Analysis of Time Series: An Introduction with R, 7th Edition, by Chris Chatfield, Chapman & Hall/CRC, 2019.
    Listed reading; requirement unspecified
  • Time Series Analysis and Its Applications, 4th Edition, by Robert H. Shumway and David S. Stoffer, Springer, 2017.
    Listed reading; requirement unspecified
Winter 2024 · STAT 460

Readings

  • Introduction to Time Series and Forecasting, 3rd Edition, by Peter J. Brockwell and Richard A. Davis, Springer, 2016.
    Listed reading; requirement unspecified
  • The Analysis of Time Series: An Introduction with R, 7th Edition, by Chris Chatfield, Chapman & Hall/CRC, 2019.
    Listed reading; requirement unspecified
  • Time Series Analysis and Its Applications, 4th Edition, by Robert H. Shumway and David S. Stoffer, Springer, 2017.
    Listed reading; requirement unspecified
Sources