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A0548
Title: Cramer-type moderate deviations under local dependence Authors:  Songhao Liu - Southern University of Science and Technology (China) [presenting]
Zhuo-Song Zhang - University of California San Diego (United States)
Abstract: The aim is to establish Cramer-type moderate deviation theorems for sums of locally dependent random variables and combinatorial central limit theorems. Under some mild exponential moment conditions, optimal error bounds and convergence ranges are obtained. The main results are more general or shaper than the existing results in the literature. The main results follow from a more general Cramer-type moderate deviation theorem for dependent random variables without any boundedness assumptions, which is of independent interest. The proofs couple Stein's method with a recursive argument.