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Strong approximations for a class of dependent random variables with semi exponential tails (2305.13001v1)
Published 22 May 2023 in math.PR
Abstract: We give rates of convergence in the almost sure invariance principle for sums of dependent random variables with semi exponential tails, whose coupling coefficients decrease at a subexponential rate. We show that the rates in the strong invariance principle are in powers of log n. We apply our results to iid products of random matrices.
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