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

Preprint English OPEN
Vellaisamy, P. ; Cekanavicius, V. (2013)
  • Subject: Primary 60F05, Secondary 60G50, | Mathematics - Probability

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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