Abstract
Let $\{\xi_n\}$ be a stationary Gaussian sequence with $E(\xi_0) = 0; E(\xi_0 \xi_n) = r_n$. If $n^\alpha r_n \rightarrow 0$ for some $\alpha > 1$, then Strassen's functional law of iterated logarithm applies to $\{\xi_n\}$.
Citation
Chandrakant M. Deo. "A Note on Stationary Gaussian Sequences." Ann. Probab. 2 (5) 954 - 957, October, 1974. https://doi.org/10.1214/aop/1176996561
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