Normal Approximation by Stein’s Method pp 221-232 | Cite as
Discretized Normal Approximation
Chapter
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.
Keywords
Triangle Inequality Normal Approximation Continuity Correction Random Index Total Variation Distance
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© Springer-Verlag Berlin Heidelberg 2011