Hoeffding's inequalities for geometrically ergodic Markov chains on general state space (1201.2265v2)

Published 11 Jan 2012 in math.PR

Abstract: We consider Markov chain with spectral gap in $L^2$ space. Assume that $f$ is a bounded function. Then the probabilities of large deviations of average along trajectory satisfy Hoeffding's-type inequalities. These bounds depend only on the stationary mean, spectral gap and the end-points of support of $f$.

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Authors (1)

Błażej Miasojedow

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