Time Series Analysis and Examples


Overview

This chapter describes SAS/IML subroutines that are related to univariate, multivariate, and fractional time series analysis and subroutines for Kalman filtering and smoothing. You can use these subroutines to analyze economic and financial time series. You can develop a model of univariate time series and a model of the relationships between vector time series. The Kalman filter subroutines provide analysis of various time series and are presented as a tool for dealing with state space models.

The subroutines offer the following functionality:

  • generating univariate, multivariate, and fractional time series

  • computing likelihood function of ARMA, VARMA, and ARFIMA models

  • computing an autocovariance function of ARMA, VARMA, and ARFIMA models

  • checking the stationarity of ARMA and VARMA models

  • filtering and smoothing of time series models by using Kalman filters

  • fitting time series models, including the AR, periodic AR, time-varying coefficient AR, VAR, and ARFIMA models

  • handling Bayesian seasonal adjustment models

In addition, SAS/IML software provides decomposition analysis, forecasting of an ARMA model, and fractional differencing of a time series.