What are the methods to reject ocular artifacts in the EEG?
According to a review by Croft &amp; Barry (2000), a number of possible methods exist to prevent, or reject ocular artifacts in the EEG;

Prevention/reduction of artifact instances


Recording with eyes closed -
A very effective method, but eye closure alters the EEG, e.g., it increases alpha band activity;
Let subjects fixate on a target -
Method reduces blinks, but does not eliminate them.


Rejection  


Exclude trials with amplitudes larger than, e.g., 50 microV  -
Method works only with a trial-based approach; artifacts below criterion level will remain.


Reduction


Subtract a certain standard voltage when an artifact occurs  -
A crude method;
Online attenuation of the EEG signal when an artifact is detected  -
Works better as the former technique, but is still crude;
Regression techniques where different electrodes are used to estimate the artifact component in other electrodes  -
A more sophisticated method with apparently good results. 


For details I refer to Croft &amp; Barry (2000) and the primary literature cited therein.

Reference
- Croft &amp; Barry Neurophysiol Clin (2000); 30: 5-19