Relaxed sector condition

Details Relaxed sector condition Relaxed sector condition

2012-02-27

arxiv.org/abs/1202.5915v1

Mathematics

Probability

10 pages

Scientific paper

In this note we present a new sufficient condition which guarantees martingale approximation and central limit theorem a la Kipnis-Varadhan to hold for additive functionals of Markov processes. This new condition, dubbed the relaxed sector condition generalizes several other well-known sector conditions like the (strong) sector condition and the graded sector condition, while also being interesting in its own right.

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