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arXiv · 1301.7196

Discrete approximations for sums of m-dependent random variables

V. Čekanavičius·P. Vellaisamy
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Abstract

Sums of of 1-dependent integer-valued random variables are approximated by compound Poisson, negative binomial and Binomial distributions and signed compound Poisson measures. Estimates are obtained for total variation and local metrics. The results are then applied to statistics of $m$-dependent $(k_1,k_2)$ events and 2-runs. Heinrich's method and smoothing properties of convolutions are used for the proofs.

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V. Čekanavičius, P. Vellaisamy. 2013-01-30. Discrete approximations for sums of m-dependent random variables. https://arxiv.org/abs/1301.7196

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