Mathematics – Probability
Scientific paper
2009-11-28
Mathematics
Probability
Scientific paper
Stein's method is applied to obtain a Cram\'er type moderate deviation result for dependent random variables whose dependence is defined in terms of a Stein identity. A corollary for zero-bias coupling is deduced. The result is also applied to a combinatorial central limit theorem, a general system of binary codes, the anti-voter model on a complete graph, and the Curie-Weiss model. A general moderate deviation result for independent random variables is also proved.
Chen Louis H. Y.
Fang Xiao
Shao Qi-Man
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