When , the series exhibits long-range dependence, whose strength increases with . Series with typically have long runs above and below the mean.

For , the series is dominated by high-frequency noise and is sometimes called anti-persistent.

The case corresponds to Gaussian white noise.

To visualize the entire time series, click the "plus" button to the right of the "start" slider to show the animation menu, then click the "play" button.

By using the "random seed" slider, you can view other time series.