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Recent Instructors
Dickey, Dave

ST 782 Time Series Analysis: Time Domain

Course Description

Estimation inference for coefficients in autoregressive, moving average and mixed models and large sample. Distribution theory for autocovariances and their use in identification of time series models. Stationarity and seasonality. Extensions of theory and methods to multiple series including vector autoregressions, transfer function models, regression with time series errors, state space modeling.

Course Syllabus

  • Stationarity
  • Covariance function
  • Modes of convergence
  • MCT, DCT convergence theorems
  • AR models, Yule-Walker
  • Prediction
  • Vector processes
  • Convergence in probability, distribution
  • Taylor's series expansions
  • Estimation of means, autocorrelations
  • Estimation of ARMA Parameters
  • Prediction
  • Regression with time series errors
  • Trend and Seasonality
  • Nonstationary Series
Course Prerequisites
  • ST 512
  • ST 522
Course Corequisites
  • None
Recent Textbooks

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Last Modified May 2006