Both suggest that the brain does this by monitoring the statistical properties of activity.

Information is then encoded as deviations from those statistical properties.

However, the statistical properties of the system's future can be predicted.

In many applications, it is these statistical properties that are important.

One statistical property that could be calculated is the expected percentage, over a long period, of the days on which the creature will eat grapes.

They do not preserve the nominal statistical properties and can be very misleading.

It means that the same statistical properties are applicable on the entire domain.

Implicit in these discussions is the assumption that the statistical properties of does not change with time.

The statistical properties of fits like this are not well understood.

This roughly means that all statistical properties are constant in time.