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Module R5 · QTA 10–11

Time series

Stationarity, white noise, AR, MA and ARMA models, reading ACF and PACF, forecasting and choosing lag length, then trends, unit roots and the Dickey-Fuller test.

3 lessons · 8 interactive figures · 21 exercises

Module progress
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  1. 1Stationarity, white noise and AR(1)
    A series you can model is one whose mean, variance and autocovariances do not drift. AR(1) is the smallest model with memory.
    7 exercises
  2. 2MA, ARMA, forecasting and model selection
    MA models remember shocks, AR models remember levels, ARMA remembers both. Information criteria stop you from remembering too much.
    7 exercises
  3. 3Trends, unit roots and spurious regression
    Two random walks regressed on each other give a beautiful R². That is the trap. Dickey-Fuller is the way out.
    7 exercises
Module test

20 questions drawn at random from the 21 exercises of this module, 48 minutes on the clock, marked instantly with the worked solution and a link back to the lesson for every miss.