46 citations · 158 across the 52 of their papers we have counts for
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math.PR2014★ 1 cited
Subgaussian concentration inequalities for geometrically ergodic Markov chains
Jérôme Dedecker, Sébastien Gouëzel
We prove that an irreducible aperiodic Markov chain is geometrically ergodic if and only if any separately bounded functional of the stationary chain satisfies an appropriate subga…
math.PR2014★ 2 cited
Moment bounds for dependent sequences in smooth Banach spaces
Jérôme Dedecker, Florence Merlevède
We prove a Marcinkiewicz-Zygmund type inequality for random variables taking values in a smooth Banach space. Next, we obtain some sharp concentration inequalities for the empirica…
math.PR2014
McDiarmid's martingale for a class of iterated random functions
Jérôme Dedecker, Xiequan Fan
We consider a Markov chain X_1, X_2, ..., X_n belonging to a class of iterated random functions, which is "one-step contracting" with respect to some distance d. If f is any separa…