Mathematics – Probability
Scientific paper
2007-01-05
Mathematics
Probability
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.
Miao Yu
Yang Guangyu
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