ARCH and GARCH models

Topic of Forecasting, part of Time series

ARCH and GARCH models

Type Topic
Taught in Forecasting
Part Time series
Questions using it 1

Autoregressive conditional heteroscedasticity: models in which the variance of today’s innovation depends on yesterday’s squared innovations (ARCH) and, in GARCH, also on yesterday’s conditional variance. They describe volatility clustering in financial returns. The course names them and does not develop them; concept check C50 asks about them.

In Forecasting

Autoregressive conditional heteroscedasticity, and its generalisations, put a time-series model on the variance rather than only on the mean. They are not developed here. Count-valued series are named and not developed, for a reason that has run through the earlier chapters: a Poisson observation is not a mean plus an innovation that can be separated off. Forecasting is the end of the material.

Used in

See also

Autoregression and moving averages · Variance · Accidental-deaths data · Traffic data · Partial autocorrelation · ARIMA model · Unit root · Seasonality

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