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Multivariate Concentration Inequalities with Size Biased Couplings (1310.5448v1)
Published 21 Oct 2013 in math.PR
Abstract: Let $\mathbf{W}=(W_1,W_2,...,W_k)$ be a random vector with nonnegative coordinates having nonzero and finite variances. We prove concentration inequalities for $\mathbf{W}$ using size biased couplings that generalize the previous univariate results. Two applications on local dependence and counting patterns are provided.
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