The law of the iterated logarithm for additive functionals of Markov chains

Mathematics – Probability

Scientific paper

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7 pages

Scientific paper

In the paper, the law of the iterated logarithm for additive functionals of
Markov chains is obtained under some weak conditions, which are weaker than the
conditions of invariance principle of additive functionals of Markov chains in
M. Maxwell and M. Woodroofe (2000). The main technique is the martingale
argument and the theory of fractional coboundaries.

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