arXiv:1006.1795 Abstract | arXiv Analytics

arXiv:1006.1795 [math.PR]Abstract References Reviews Resources

Quenched Central Limit Theorems for Sums of Stationary Processes

Published 2010-06-09Version 1

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.

Categories: math.PR, math.ST, stat.TH

Subjects: 60F05

Keywords: quenched central limit theorems, stationary processes, hannans condition, quenched version, imply quenched convergence

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