S. Bennett, Probability Inequalities for the Sum of Independent Random Variables, Journal of the American Statistical Association, vol.18, issue.297, pp.33-45, 1962.
DOI : 10.1214/aoms/1177730437

S. N. Bernstein, On a modification of Chebyshev's inequality and on the error in Laplace formula, Collected Works, vol.4, pp.71-80, 1964.

P. Bertail and S. Clémençon, Edgeworth expansions of suitably normalized sample mean statistics for atomic Markov chains, Probability Theory and Related Fields, vol.24, issue.3, pp.388-414, 2004.
DOI : 10.1007/s00440-004-0360-0

URL : https://hal.archives-ouvertes.fr/hal-00111271

E. Bolthausen, The Berry-Esseen theorem for functionals of discrete Markov chains, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.9, issue.1, pp.59-73, 1980.
DOI : 10.1007/BF00535354

A. A. Borovkov, Some Inequalities for Sums of Multidimensional Random Variables, Theory of Probability & Its Applications, vol.13, issue.1, pp.156-160, 1968.
DOI : 10.1137/1113013

P. Doukhan, Mixing: properties and examples, Lecture Notes in Statistics, vol.85, 1994.

J. Dubinskaite, Limit Theorems in ? k I. Lithuanian Math, J, vol.22, pp.129-140, 1982.

J. Dubinskaite, Limit Theorems in ? k II-III. Lithuanian Math, J, vol.24, pp.256-265, 1984.

D. H. Fuk and S. V. Nagaev, Probability Inequalities for Sums of Independent Random Variables, Theory of Probability & Its Applications, vol.16, issue.4, pp.643-660, 1971.
DOI : 10.1137/1116071

P. W. Glynn and D. Ormoneit, Hoeffding's inequality for uniformly ergodic Markov chains, Statistics & Probability Letters, vol.56, issue.2, pp.143-146, 2002.
DOI : 10.1016/S0167-7152(01)00158-4

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.9549

W. Hoeffding, Probability Inequalities for Sums of Bounded Random Variables, Journal of the American Statistical Association, vol.1, issue.301, pp.13-30, 1963.
DOI : 10.1214/aoms/1177730491

C. A. Léon and F. Perron, Optimal Hoeffding Bounds for Discrete Reversible Markov Chains, Ann. Appl. Probab, vol.14, issue.2, pp.958-970, 2004.

P. Lézaud, Chernoff-type bound for finite Markov chains, The Annals of Applied Probability, vol.8, issue.3, pp.849-867, 1998.
DOI : 10.1214/aoap/1028903453

V. K. Malinovskii, Limit theorems for Harris Markov chains I. Theory Prob, Appl, vol.31, pp.269-285, 1987.

K. Marton, A Measure of Concentration Inequality for Contracting Markov Chains, Geom. Funct. Analysis, vol.6, issue.3, pp.557-571, 1996.

S. V. Nagaev, Large Deviations of Sums of Independent Random Variables, The Annals of Probability, vol.7, issue.5, pp.145-789, 1979.
DOI : 10.1214/aop/1176994938

E. Nummelin, A splitting technique for Harris recurrent Markov chains, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.29, issue.2, pp.309-318, 1978.
DOI : 10.1007/BF00534764

E. Nummelin, General Irreducible Markov Chains and Non-negative Operators, 1984.
DOI : 10.1017/CBO9780511526237

V. V. Petrov, Limit Theorems of Probability Theory. Sequences of Independent Random Variables, 1995.

Y. V. Prokhorov, An extension of S.N. Bernstein's inequalities to multidimensional distributions, Theory Prob. Applications, pp.260-267, 1968.

E. Rio, Théorie asymptotique des processus aléatoires faiblement dépendants, 2000.

P. M. Samson, Concentration of measure inequalities for Markov chains and $\Phi$-mixing processes, The Annals of Probability, vol.28, issue.1, pp.416-461, 2000.
DOI : 10.1214/aop/1019160125

W. L. Smith, Regenerative Stochastic Processes, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.232, issue.1188, pp.6-31, 1955.
DOI : 10.1098/rspa.1955.0198

M. Talagrand, The missing factor in Hoeffding's inequalities, Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, pp.689-70, 1995.

H. Thorisson, Coupling, Stationarity and Regeneration, 2000.
DOI : 10.1007/978-1-4612-1236-2