Partial autocorrelation

Topic of Forecasting, part of Time series

Partial autocorrelation

Type Topic
Taught in Forecasting
Part Time series
Questions using it 2

The correlation between X_t and X_{t-k} after removing the linear effect of the observations in between. An autoregression of order p has partial autocorrelation zero beyond lag p, which is how the PACF suggests an order.

In Forecasting

The autocorrelation and the partial autocorrelation both keep oscillating. An MA process would cut the autocorrelation off after a finite lag. An AR process would cut the partial autocorrelation off. Neither plot dies. That is the seasonality, still in the correlations.

Used in

See also

Autocorrelation function · Autoregression and moving averages · Correlation · Accidental-deaths data · Traffic data · ARIMA model · Unit root · Seasonality

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