Week 7: ARIMA models
What you will learn this week
- Stationarity and differencing
- Random Walk Models
Pre-seminar activities
Read Sections 9.1-9.2 of the textbook and watch all embedded videos.
Tutorial exercises
NoteTutorial Learning Objectives
- Diagnose non-stationarity
- Able to interpret time plots.
- Able to use ACF, and PACF to identify non-stationary behaviour and justify the need for differencing.
- Determine appropriate transformations and differencing orders.
- Select suitable Box–Cox transformations and apply the correct order of regular and/or seasonal differencing to achieve stationarity.
- Express differencing using backshift operator notation.
- Write the chosen regular and/or seasonal differencing operations formally using backshift notation
- Complete Exercise 2-5 from Section 9.11 of the book