## S. Ejaz Ahmed, Deli Li, Andrew
Rosalsky, and Andrei Volodin

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

## (*Lobachevskii Journal of Mathematics, Vol.18, pp.3-20* )

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.

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