Quenched Central Limit Theorems for Sums of Stationary Processes

Details Quenched Central Limit Theorems for Sums of Stationary Processes Quenched Central Limit Theorems for Sums of Stationary Processes

2010-06-09

arxiv.org/abs/1006.1795v1

Mathematics

Probability

Scientific paper

It is shown that the existence of an L^1 co boundary does not imply the
quenched version of the central limit theorem. In another result it is shown
that Hannan's condition does imply quenched convergence for an appropriately
centered version of the sum.

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