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# A characterization of mixing processes of type G

**Piotr S. Kokoszka
**

Murad S. Taqqu

### Abstract:

*A stationary Gaussian process is mixing if and only if its covariance
function tends to zero as the lag increases to infinity. We give an
analogous characterization for a large class of symmetric infinitely
divisible processes, known
as processes of type G, whose marginal distributions are variance mixtures
of the normal distribution.
*