Geodesic
On the asymptotic probability for the deviations of dependent bootstrap means from the sample mean
Lobachevskii journal of mathematics, Tome 18 (2005), pp. 3-20

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In this paper, the asymptotic probability for the deviations of dependent bootstrap means from the sample mean is obtained without imposing any conditions on the joint distributions associated with the original sequence of random variables from which the dependent bootstrap sample is selected. The mild condition of stochastic domination by a random variable is imposed on the marginal distributions of the random variables in this sequence.
Keywords: dependent bootstrap, bootstrap means, asymptotic probability for deviations, exponential inequalities, strong law of large numbers, stochastic domination. 
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     title = {On the asymptotic probability for the deviations of dependent bootstrap means from the sample mean},
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S. E. Ahmed; D. Li; A. Rosalsky; A. I. Volodin. On the asymptotic probability for the deviations of dependent bootstrap means from the sample mean. Lobachevskii journal of mathematics, Tome 18 (2005), pp. 3-20. http://geodesic.mathdoc.fr/item/LJM_2005_18_a0/