Non-uniform approximations for sums of discrete m-dependent random variables

P. Vellaisamy; V. Cekanavicius

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arXiv · 1307.6296

Non-uniform approximations for sums of discrete m-dependent random variables

P. Vellaisamy·V. Cekanavicius

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Abstract

Non-uniform estimates are obtained for Poisson, compound Poisson, translated Poisson, negative binomial and binomial approximations to sums of of m-dependent integer-valued random variables. Estimates for Wasserstein metric also follow easily from our results. The results are then exemplified by the approximation of Poisson binomial distribution, 2-runs and $m$-dependent $(k_1,k_2)$-events.

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P. Vellaisamy, V. Cekanavicius. 2013-07-24. Non-uniform approximations for sums of discrete m-dependent random variables. https://arxiv.org/abs/1307.6296

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