# On the Asymptotic Probability for the Deviations of Dependent Bootstrap Means from the Sample Mean

## (*Lobachevskii Journal of Mathematics, Volume XVIII*)

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.