Quenched Central Limit Theorems for Sums of Stationary Processes

Published 9 Jun 2010 in math.PR, math.ST, and stat.TH | (1006.1795v1)

Abstract: It is shown that the existence of an L¹ 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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