Multivariate Concentration Inequalities with Size Biased Couplings
classification
🧮 math.PR
keywords
biasedconcentrationcouplingsinequalitiesmathbfsizeapplicationscoordinates
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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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