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Concentration inequalities for Gibbs sampling under $d_{l_{2}}$-metric

   
@article{ECP3502,
	author = {Neng-Yi Wang},
	title = {Concentration inequalities for Gibbs sampling under $d_{l_{2}}$-metric},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {concentration inequality; Gibbs sampling; coupling method; Dobrushin's uniqueness condition; \$d_\{l_2\}\$-metric},
	abstract = {The aim of this paper is to investigate the Gibbs sampling that's used for computing the mean of observables with respect to some function $f$ depending on a very small number of variables. For this type of observable, by using the $d_{l_{2}}$-metric one obtains the sharp concentration estimate for the empirical mean, which in particular yields the correct speed in the concentration for $f$ depending on a single observable.},
	pages = {no. 63, 1-11},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3502},    
        url = {http://ecp.ejpecp.org/article/view/3502}}