Week 7: ARIMA models

Week 7

Begin ARIMA with stationarity, differencing, and random walk style models.

Quiz highlight

Week 7 quiz

Due Wednesday 22 April

Quiz links switch with your selected course, so this stays as the main weekly action.

Prepare before class

Read Sections 9.1 to 9.2 of FPP3 and review the idea of stationarity before the workshop.

Seminar and workshop

Wednesday 22 April · Seminar 3:00pm to 3:50pm, workshop 4:00pm to 4:50pm · Building K Level 3, K321

Focus
  • Stationarity and differencing
  • Random walks and persistence
  • When ARIMA modelling becomes useful
Assessment

Week 7 quiz on Wednesday 22 April · IA3 on Friday 24 April

Week 7 quiz on Wednesday 22 April · IA3 on Friday 24 April

What you will learn this week

  • Stationarity and differencing
  • Random Walk Models

Pre-class activities

Read Sections 9.1-9.2 of the textbook and watch all embedded videos.

Tutorial exercises

NoteTutorial Learning Objectives
  1. 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.
  2. 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.
  3. Express differencing using backshift operator notation.
    • Write the chosen regular and/or seasonal differencing operations formally using backshift notation

Assignments

  • IA3 is due on Friday 24 April.
  • GA3 is due on Tuesday 05 May.

Weekly quiz