On the Central Limit Theorem and Iterated Logarithm Law for Stationary Processes.
STANFORD UNIV CALIF DEPT OF STATISTICS
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Invariance principles are given for both the central limit theorem and iterated logarithm law for a wide class of stationary processes. The results are derived from corresponding results for martingales with stationary ergodic increments. This is accomplished via a representation for the stationary process in terms of stationary martingale differences plus other terms whose sum telescopes and disappears under suitable norming. An application is given to show how previously known results for stationary uniformly mixing processes can be improved. Author
- Statistics and Probability