Non-uniform approximations for sums of discrete m-dependent random variables
Probability
2014-08-19 v1
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 -dependent -events.
Keywords
Cite
@article{arxiv.1307.6296,
title = {Non-uniform approximations for sums of discrete m-dependent random variables},
author = {P. Vellaisamy and V. Cekanavicius},
journal= {arXiv preprint arXiv:1307.6296},
year = {2014}
}
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22 pages