Abstract
Returning to the independent case, and inspired by use of the continuity correction for the normal approximation of the binomial, Chap. 7 considers the approximation of independent sums of integer valued random variables by the discretized normal distribution, in the total variation metric. The main result is shown by obtaining bounds between the zero biased distribution of the sum and the normal, and then treating the coupled zero biased variable as a type of perturbation.
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© 2011 Springer-Verlag Berlin Heidelberg
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Chen, L.H.Y., Goldstein, L., Shao, QM. (2011). Discretized Normal Approximation. In: Normal Approximation by Stein’s Method. Probability and Its Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15007-4_7
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DOI: https://doi.org/10.1007/978-3-642-15007-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15006-7
Online ISBN: 978-3-642-15007-4
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