A quenched invariance principle for stationary processes

Details A quenched invariance principle for stationary processes A quenched invariance principle for stationary processes

2012-02-22

arxiv.org/abs/1202.4875v1

Mathematics

Probability

Scientific paper

In this note, we prove a conditionally centered version of the quenched weak
invariance principle under the Hannan condition, for stationary processes. In
the course, we obtain a (new) construction of the fact that any stationary
process may be seen as a functional of a Markov chain.

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